Sasi Math (Revised for 1024)

Scroll:Probability >> probability >> ps (4492)

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.

A jar contains 144 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{6}$ and the probability of drawing a green marble is $\frac{5}{12.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 90 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{9}$ and the probability of drawing a green marble is $\frac{7}{18.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 96 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{8}$ and the probability of drawing a green marble is $\frac{5}{16.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 126 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{1}{9}$ and the probability of drawing a green marble is $\frac{7}{18.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 180 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{10}$ and the probability of drawing a green marble is $\frac{7}{20.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 126 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{9}$ and the probability of drawing a green marble is $\frac{5}{18.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 150 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{15}$ and the probability of drawing a green marble is $\frac{7}{30.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 144 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{1}{12}$ and the probability of drawing a green marble is $\frac{5}{24.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 162 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{2}{9}$ and the probability of drawing a green marble is $\frac{5}{18.}$ How many white marbles does the jar contain

Answer:_______________

10)

A jar contains 176 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{1}{8}$ and the probability of drawing a green marble is $\frac{7}{16.}$ How many white marbles does the jar contain

Answer:_______________

Answer: 36

SOLUTION 1 :

A jar contains 144 marbles each of which is blue, green and white.

n(S) = 144.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{6}$ .

Probability of drawing green marbles, P(G) = $\frac{5}{12.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{144}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{6}$ + $\frac{5}{12}$ + $\frac{x}{144}$ = 1

48 + 60 + x ÷ 144 = 1 LCM = 144

108 + x = 144

x = 144 - 108

x = 36.

Number of white balls = 36

Answer: 35

SOLUTION 1 :

A jar contains 90 marbles each of which is blue, green and white.

n(S) = 90.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{9}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{18.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{90}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{9}$ + $\frac{7}{18}$ + $\frac{x}{90}$ = 1

20 + 35 + x ÷ 90 = 1 LCM = 90

55 + x = 90

x = 90 - 55

x = 35.

Number of white balls = 35

Answer: 42

SOLUTION 1 :

A jar contains 96 marbles each of which is blue, green and white.

n(S) = 96.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{8}$ .

Probability of drawing green marbles, P(G) = $\frac{5}{16.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{96}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{8}$ + $\frac{5}{16}$ + $\frac{x}{96}$ = 1

24 + 30 + x ÷ 96 = 1 LCM = 96

54 + x = 96

x = 96 - 54

x = 42.

Number of white balls = 42

Answer: 63

SOLUTION 1 :

A jar contains 126 marbles each of which is blue, green and white.

n(S) = 126.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{1}{9}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{18.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{126}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{1}{9}$ + $\frac{7}{18}$ + $\frac{x}{126}$ = 1

14 + 49 + x ÷ 126 = 1 LCM = 126

63 + x = 126

x = 126 - 63

x = 63.

Number of white balls = 63

Answer: 81

SOLUTION 1 :

A jar contains 180 marbles each of which is blue, green and white.

n(S) = 180.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{10}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{20.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{180}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{10}$ + $\frac{7}{20}$ + $\frac{x}{180}$ = 1

36 + 63 + x ÷ 180 = 1 LCM = 180

99 + x = 180

x = 180 - 99

x = 81.

Number of white balls = 81

Answer: 63

SOLUTION 1 :

A jar contains 126 marbles each of which is blue, green and white.

n(S) = 126.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{9}$ .

Probability of drawing green marbles, P(G) = $\frac{5}{18.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{126}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{9}$ + $\frac{5}{18}$ + $\frac{x}{126}$ = 1

28 + 35 + x ÷ 126 = 1 LCM = 126

63 + x = 126

x = 126 - 63

x = 63.

Number of white balls = 63

Answer: 95

SOLUTION 1 :

A jar contains 150 marbles each of which is blue, green and white.

n(S) = 150.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{15}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{30.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{150}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{15}$ + $\frac{7}{30}$ + $\frac{x}{150}$ = 1

20 + 35 + x ÷ 150 = 1 LCM = 150

55 + x = 150

x = 150 - 55

x = 95.

Number of white balls = 95

Answer: 102

SOLUTION 1 :

A jar contains 144 marbles each of which is blue, green and white.

n(S) = 144.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{1}{12}$ .

Probability of drawing green marbles, P(G) = $\frac{5}{24.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{144}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{1}{12}$ + $\frac{5}{24}$ + $\frac{x}{144}$ = 1

12 + 30 + x ÷ 144 = 1 LCM = 144

42 + x = 144

x = 144 - 42

x = 102.

Number of white balls = 102

Answer: 81

SOLUTION 1 :

A jar contains 162 marbles each of which is blue, green and white.

n(S) = 162.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{2}{9}$ .

Probability of drawing green marbles, P(G) = $\frac{5}{18.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{162}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{2}{9}$ + $\frac{5}{18}$ + $\frac{x}{162}$ = 1

36 + 45 + x ÷ 162 = 1 LCM = 162

81 + x = 162

x = 162 - 81

x = 81.

Number of white balls = 81

10)

Answer: 77

SOLUTION 1 :

A jar contains 176 marbles each of which is blue, green and white.

n(S) = 176.

w.k.t P(S) = 1.

Given:

Probability of drawing blue marble, P(B) = $\frac{1}{8}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{16.}$

Let X be the number of white marbles, n(W) = x.

⇒ P(G) = n(G) / n(S) = $\frac{x}{176}$

⇒ P(S) = 1.

p(B) + P(G) + P(W) = 1

$\frac{1}{8}$ + $\frac{7}{16}$ + $\frac{x}{176}$ = 1

22 + 77 + x ÷ 176 = 1 LCM = 176

99 + x = 176

x = 176 - 99

x = 77.

Number of white balls = 77