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 120 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 140 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 $\frac{5}{20.}$ 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 $\frac{2}{6}$ and the probability of drawing a green marble is $\frac{7}{12.}$ 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 $\frac{1}{8}$ and the probability of drawing a green marble is $\frac{7}{16.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 108 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{1}{6}$ and the probability of drawing a green marble is $\frac{5}{12.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 144 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 $\frac{5}{16.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 128 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 $\frac{7}{16.}$ 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 $\frac{2}{6}$ and the probability of drawing a green marble is $\frac{5}{12.}$ How many white marbles does the jar contain

Answer:_______________

A jar contains 104 marbles each of the colours blue, green and white. The probility of drawing a blue marbles is $\frac{1}{4}$ and the probability of drawing a green marble is $\frac{7}{8.}$ How many white marbles does the jar contain

Answer:_______________

10)

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 $\frac{5}{30.}$ How many white marbles does the jar contain

Answer:_______________

Answer: 76

SOLUTION 1 :

A jar contains 120 marbles each of which is blue, green and white.

n(S) = 120.

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) = $\frac{x}{120}$

⇒ P(S) = 1.

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

$\frac{2}{15}$ + $\frac{7}{30}$ + $\frac{x}{120}$ = 1

16 + 28 + x ÷ 120 = 1 LCM = 120

44 + x = 120

x = 120 - 44

x = 76.

Number of white balls = 76

Answer: 77

SOLUTION 1 :

A jar contains 140 marbles each of which is blue, green and white.

n(S) = 140.

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

Given:

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

Probability of drawing green marbles, P(G) = $\frac{5}{20.}$

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

⇒ P(G) = n(G) / n(S) = $\frac{x}{140}$

⇒ P(S) = 1.

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

$\frac{2}{10}$ + $\frac{5}{20}$ + $\frac{x}{140}$ = 1

28 + 35 + x ÷ 140 = 1 LCM = 140

63 + x = 140

x = 140 - 63

x = 77.

Number of white balls = 77

Answer: 8

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) = $\frac{2}{6}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{12.}$

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

$\frac{2}{6}$ + $\frac{7}{12}$ + $\frac{x}{96}$ = 1

32 + 56 + x ÷ 96 = 1 LCM = 96

88 + x = 96

x = 96 - 88

x = 8.

Number of white balls = 8

Answer: 63

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) = $\frac{1}{8}$ .

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) = $\frac{x}{144}$

⇒ P(S) = 1.

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

$\frac{1}{8}$ + $\frac{7}{16}$ + $\frac{x}{144}$ = 1

18 + 63 + x ÷ 144 = 1 LCM = 144

81 + x = 144

x = 144 - 81

x = 63.

Number of white balls = 63

Answer: 45

SOLUTION 1 :

A jar contains 108 marbles each of which is blue, green and white.

n(S) = 108.

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

Given:

Probability of drawing blue marble, P(B) = $\frac{1}{6}$ .

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) = $\frac{x}{108}$

⇒ P(S) = 1.

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

$\frac{1}{6}$ + $\frac{5}{12}$ + $\frac{x}{108}$ = 1

18 + 45 + x ÷ 108 = 1 LCM = 108

63 + x = 108

x = 108 - 63

x = 45.

Number of white balls = 45

A jar contains 144 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 $\frac{5}{16.}$ How many white marbles does the jar contain

Answer: 81

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) = $\frac{1}{8}$ .

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) = $\frac{x}{144}$

⇒ P(S) = 1.

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

$\frac{1}{8}$ + $\frac{5}{16}$ + $\frac{x}{144}$ = 1

18 + 45 + x ÷ 144 = 1 LCM = 144

63 + x = 144

x = 144 - 63

x = 81.

Number of white balls = 81

Answer: 40

SOLUTION 1 :

A jar contains 128 marbles each of which is blue, green and white.

n(S) = 128.

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

Given:

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

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

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

⇒ P(G) = n(G) / n(S) = $\frac{x}{128}$

⇒ P(S) = 1.

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

$\frac{2}{8}$ + $\frac{7}{16}$ + $\frac{x}{128}$ = 1

32 + 56 + x ÷ 128 = 1 LCM = 128

88 + x = 128

x = 128 - 88

x = 40.

Number of white balls = 40

Answer: 45

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) = $\frac{2}{6}$ .

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) = $\frac{x}{180}$

⇒ P(S) = 1.

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

$\frac{2}{6}$ + $\frac{5}{12}$ + $\frac{x}{180}$ = 1

60 + 75 + x ÷ 180 = 1 LCM = 180

135 + x = 180

x = 180 - 135

x = 45.

Number of white balls = 45

Answer: -13

SOLUTION 1 :

A jar contains 104 marbles each of which is blue, green and white.

n(S) = 104.

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

Given:

Probability of drawing blue marble, P(B) = $\frac{1}{4}$ .

Probability of drawing green marbles, P(G) = $\frac{7}{8.}$

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

⇒ P(G) = n(G) / n(S) = $\frac{x}{104}$

⇒ P(S) = 1.

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

$\frac{1}{4}$ + $\frac{7}{8}$ + $\frac{x}{104}$ = 1

26 + 91 + x ÷ 104 = 1 LCM = 104

117 + x = 104

x = 104 - 117

x = -13.

Number of white balls = -13

10)

Answer: 105

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) = $\frac{5}{30.}$

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

$\frac{2}{15}$ + $\frac{5}{30}$ + $\frac{x}{150}$ = 1

20 + 25 + x ÷ 150 = 1 LCM = 150

45 + x = 150

x = 150 - 45

x = 105.

Number of white balls = 105