Sasi Math (Revised for 1024)

Scroll:Probability >> probability >> ps (4490)

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.

Three coins are tossed simultaneously. Find the probability of getting

at least one tail

Answer:_______________

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn cards is Not an Ace

Answer:_______________

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn cards is Not a Diamond

Answer:_______________

Two coins are tossed together. What is the probability of getting at most one head.

Answer:_______________

Three coins are tossed simultaneously. Find the probability of getting

at least two heads

Answer:_______________

Two coins are tossed together. What is the probability of getting at most one tail.

Answer:_______________

Three coins are tossed simultaneously. Find the probability of getting

exactly two tails.

Answer:_______________

Three coins are tossed simultaneously. Find the probability of getting

exactly two heads.

Answer:_______________

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn cards is Diamond

Answer:_______________

10)

Three coins are tossed simultaneously. Find the probability of getting

at least one head

Answer:_______________

Three coins are tossed simultaneously. Find the probability of getting

at least one tail

Answer: $\frac{7}{8}$

SOLUTION 1 :

Sample space S = { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }

n(S) = 8.

Let A be the event of getting atleast one tail.

A = { TTT, HHT, HTH, THH, HTT, THT, TTH }

n(A) = 7.

P(A) = $\frac{n(A)}{n(S)}$

= $\frac{7}{8}$

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn cards is Not an Ace

Answer: $\frac{12}{13}$

SOLUTION 1 :

The total number of cards n(S) = 52.

Let A be the event of drawing a card which is not a Ace card. There are 4 Ace cards.

n(A) = 52 - 4 = 48.

P(A) = $\frac{n(S)}{n(A)}$

= $\frac{48}{52}$ = $\frac{12}{13}$

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn cards is Not a Diamond

Answer: $\frac{3}{4}$

SOLUTION 1 :

The total number of cards n(S) = 52.

Let A be the event of drawing a card which is not a diamond card. There are 39 cards.

n(A) = 39

P(A) = $\frac{n(S)}{n(A)}$

= $\frac{39}{52}$ = $\frac{3}{4}$

Two coins are tossed together. What is the probability of getting at most one head.

Answer: $\frac{3}{4}$

SOLUTION 1 :

Sample space S = { HH, HT, TH,TT }

n(S) = 4

Let A be the event of getting atmost one head.

A = { HH,HT,TH }

n(A) = 3

P(S) = $\frac{n(A)}{n(S)}$

= $\frac{3}{4}$

Three coins are tossed simultaneously. Find the probability of getting

at least two heads

Answer: $\frac{1}{2}$

SOLUTION 1 :

Sample space S = { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }

n(S) = 8.

Let A be the event of getting at least two heads.

A = { HHH, HHT, HTH, THH }

n(A) = 4.

P(A) = $\frac{n(A)}{n(S)}$

= $\frac{4}{8}$ = $\frac{1}{2}$

Two coins are tossed together. What is the probability of getting at most one tail.

Answer: $\frac{3}{4}$

SOLUTION 1 :

Sample space S = { HH, HT, TH,TT }

n(S) = 4

Let A be the event of getting atmost one tail.

A = { TT, TH, HT }

n(A) = 3

P(A) = $\frac{n(A)}{n(S)}$

= $\frac{3}{4}$

Three coins are tossed simultaneously. Find the probability of getting

exactly two tails.

Answer: $\frac{3}{8}$

SOLUTION 1 :

Sample space S = { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }

n(S) = 8.

Let A be the event of getting exactly two tails.

A = { HTT, THT, TTH }

n(A) = 3.

P(A) = $\frac{n(A)}{n(S)}$

= $\frac{3}{8}$

Three coins are tossed simultaneously. Find the probability of getting

exactly two heads.

Answer: $\frac{3}{8}$

SOLUTION 1 :

Sample space S = { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }

n(S) = 8.

Let A be the event of getting exactly two heads.

A = { HHT, HTH, THH }

n(A) = 3.

P(A) = $\frac{n(A)}{n(S)}$

= $\frac{3}{8}$

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn cards is Diamond

Answer: $\frac{1}{4}$

SOLUTION 1 :

The total number of cards n(S) = 52.

Let A be the event of drawing diamond. There sre 13 diamond cards.

n(A) = 13

P(S) = $\frac{n(S)}{n(A)}$

= $\frac{13}{52}$ = $\frac{1}{4}$

10)

Three coins are tossed simultaneously. Find the probability of getting

at least one head

Answer: $\frac{7}{8}$

SOLUTION 1 :

Sample space S = { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }

n(S) = 8.

Let A be the event of getting atleast one head.

A = { HHH, HHT, HTH, THH, HTT, THT, TTH }

n(A) = 7.

P(A) = $\frac{n(A)}{n(S)}$

= $\frac{7}{8}$