Sasi Math (Revised for 1024)

Scroll:Probability >> probability >> ps (4494)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Piggy bank contains 220 fifty-paise coins, 50 one-rupee coins, 35 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 120 fifty-paise coins, 60 one-rupee coins, 30 two-rupee coins and 20 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 100 fifty-paise coins, 65 one-rupee coins, 35 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 140 fifty-paise coins, 55 one-rupee coins, 35 two-rupee coins and 15 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 270 fifty-paise coins, 65 one-rupee coins, 30 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 130 fifty-paise coins, 55 one-rupee coins, 30 two-rupee coins and 15 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 150 fifty-paise coins, 65 one-rupee coins, 30 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 210 fifty-paise coins, 50 one-rupee coins, 35 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 190 fifty-paise coins, 50 one-rupee coins, 35 two-rupee coins and 20 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

10)

Piggy bank contains 170 fifty-paise coins, 70 one-rupee coins, 30 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin =

Will not be a five-ruoees coin =

Answer:_______________

Piggy bank contains 220 fifty-paise coins, 50 one-rupee coins, 35 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{44}{63}$

Will not be a five-ruoees coin = Answer: $\frac{61}{63}$

SOLUTION 1 :

Sample space, S has 315 coins which 10 fifty-paise coins, 50 one rupee coins, 35 two rupees coins and 10 five rupee coins.

n(S) = 220 + 50 + 35 + 10

= 315.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 315.

P(A) = n(A) / n(S) = $\frac{220}{315}$ = $\frac{44}{63}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 10

= 315 - 10 = 305.

P(B) = n(B) / n(S) = $\frac{305}{315}$ = $\frac{61}{63}$ .

Piggy bank contains 120 fifty-paise coins, 60 one-rupee coins, 30 two-rupee coins and 20 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{12}{23}$

Will not be a five-ruoees coin = Answer: $\frac{21}{23}$

SOLUTION 1 :

Sample space, S has 230 coins which 20 fifty-paise coins, 60 one rupee coins, 30 two rupees coins and 20 five rupee coins.

n(S) = 120 + 60 + 30 + 20

= 230.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 230.

P(A) = n(A) / n(S) = $\frac{120}{230}$ = $\frac{12}{23}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 20

= 230 - 20 = 210.

P(B) = n(B) / n(S) = $\frac{210}{230}$ = $\frac{21}{23}$ .

Piggy bank contains 100 fifty-paise coins, 65 one-rupee coins, 35 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{10}{21}$

Will not be a five-ruoees coin = Answer: $\frac{20}{21}$

SOLUTION 1 :

Sample space, S has 210 coins which 10 fifty-paise coins, 65 one rupee coins, 35 two rupees coins and 10 five rupee coins.

n(S) = 100 + 65 + 35 + 10

= 210.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 210.

P(A) = n(A) / n(S) = $\frac{100}{210}$ = $\frac{10}{21}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 10

= 210 - 10 = 200.

P(B) = n(B) / n(S) = $\frac{200}{210}$ = $\frac{20}{21}$ .

Piggy bank contains 140 fifty-paise coins, 55 one-rupee coins, 35 two-rupee coins and 15 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{4}{7}$

Will not be a five-ruoees coin = Answer: $\frac{46}{49}$

SOLUTION 1 :

Sample space, S has 245 coins which 15 fifty-paise coins, 55 one rupee coins, 35 two rupees coins and 15 five rupee coins.

n(S) = 140 + 55 + 35 + 15

= 245.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 245.

P(A) = n(A) / n(S) = $\frac{140}{245}$ = $\frac{4}{7}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 15

= 245 - 15 = 230.

P(B) = n(B) / n(S) = $\frac{230}{245}$ = $\frac{46}{49}$ .

Piggy bank contains 270 fifty-paise coins, 65 one-rupee coins, 30 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{18}{25}$

Will not be a five-ruoees coin = Answer: $\frac{73}{75}$

SOLUTION 1 :

Sample space, S has 375 coins which 10 fifty-paise coins, 65 one rupee coins, 30 two rupees coins and 10 five rupee coins.

n(S) = 270 + 65 + 30 + 10

= 375.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 375.

P(A) = n(A) / n(S) = $\frac{270}{375}$ = $\frac{18}{25}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 10

= 375 - 10 = 365.

P(B) = n(B) / n(S) = $\frac{365}{375}$ = $\frac{73}{75}$ .

Piggy bank contains 130 fifty-paise coins, 55 one-rupee coins, 30 two-rupee coins and 15 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{13}{23}$

Will not be a five-ruoees coin = Answer: $\frac{43}{46}$

SOLUTION 1 :

Sample space, S has 230 coins which 15 fifty-paise coins, 55 one rupee coins, 30 two rupees coins and 15 five rupee coins.

n(S) = 130 + 55 + 30 + 15

= 230.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 230.

P(A) = n(A) / n(S) = $\frac{130}{230}$ = $\frac{13}{23}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 15

= 230 - 15 = 215.

P(B) = n(B) / n(S) = $\frac{215}{230}$ = $\frac{43}{46}$ .

Piggy bank contains 150 fifty-paise coins, 65 one-rupee coins, 30 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{10}{17}$

Will not be a five-ruoees coin = Answer: $\frac{49}{51}$

SOLUTION 1 :

Sample space, S has 255 coins which 10 fifty-paise coins, 65 one rupee coins, 30 two rupees coins and 10 five rupee coins.

n(S) = 150 + 65 + 30 + 10

= 255.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 255.

P(A) = n(A) / n(S) = $\frac{150}{255}$ = $\frac{10}{17}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 10

= 255 - 10 = 245.

P(B) = n(B) / n(S) = $\frac{245}{255}$ = $\frac{49}{51}$ .

Piggy bank contains 210 fifty-paise coins, 50 one-rupee coins, 35 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{42}{61}$

Will not be a five-ruoees coin = Answer: $\frac{59}{61}$

SOLUTION 1 :

Sample space, S has 305 coins which 10 fifty-paise coins, 50 one rupee coins, 35 two rupees coins and 10 five rupee coins.

n(S) = 210 + 50 + 35 + 10

= 305.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 305.

P(A) = n(A) / n(S) = $\frac{210}{305}$ = $\frac{42}{61}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 10

= 305 - 10 = 295.

P(B) = n(B) / n(S) = $\frac{295}{305}$ = $\frac{59}{61}$ .

Piggy bank contains 190 fifty-paise coins, 50 one-rupee coins, 35 two-rupee coins and 20 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{38}{59}$

Will not be a five-ruoees coin = Answer: $\frac{55}{59}$

SOLUTION 1 :

Sample space, S has 295 coins which 20 fifty-paise coins, 50 one rupee coins, 35 two rupees coins and 20 five rupee coins.

n(S) = 190 + 50 + 35 + 20

= 295.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 295.

P(A) = n(A) / n(S) = $\frac{190}{295}$ = $\frac{38}{59}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 20

= 295 - 20 = 275.

P(B) = n(B) / n(S) = $\frac{275}{295}$ = $\frac{55}{59}$ .

10)

Piggy bank contains 170 fifty-paise coins, 70 one-rupee coins, 30 two-rupee coins and 10 five-rupee coins. One coin is drawn at random.Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

Will be a fifty-paise coin = Answer: $\frac{17}{28}$

Will not be a five-ruoees coin = Answer: $\frac{27}{28}$

SOLUTION 1 :

Sample space, S has 280 coins which 10 fifty-paise coins, 70 one rupee coins, 30 two rupees coins and 10 five rupee coins.

n(S) = 170 + 70 + 30 + 10

= 280.

(i) .... Let A be the event of taking one coin which is fifty-paise coin.

n(A) = 280.

P(A) = n(A) / n(S) = $\frac{170}{280}$ = $\frac{17}{28}$

(ii) ..... Let B be the event of taking one coin which is not a five rupee coin.

n(B) = n(S) - 10

= 280 - 10 = 270.

P(B) = n(B) / n(S) = $\frac{270}{280}$ = $\frac{27}{28}$ .