Question

A jar contains 3 white, 4 blue, 5 red and 2 green marbles. If a marble is drawn at random from the jar, what
is the probability that the marble is
(a) white
(b) red
(c) blue
(d) green
(e) not white
(f) not red
​

Answer 1

Answer:

a) P(white marble ) = 3/14

b)P(red marble) = 5/14

c)P(blue marble) = 4/14

d)P(green marble)=2/14=1/7

e) P(not white) = 11/14

f)P(not red)= 9/14

Answer 2

$\frac{3}{14}$ is the probability that the marble is white.

$\frac{5}{14}$ is the probability that the marble is red.

$\frac{2}{7}$ is the probability that the marble is blue,

$\frac{1}{7}$ is the probability that the marble is green.

$\frac{11}{14}$ is the probability that the marble is not white.

$\frac{9}{14}$ is the probability that the marble is not red.

Step-by-step explanation:

A jar contains 3 white, 4 blue, 5 red and 2 green marbles. If a marble is drawn at random from the jar,

Total number of ways selecting a marble = $14_{C_{1} }$ = $\frac{14\times 13!}{13!}$ = 14.

a) The number of ways the marble drawn is white = $3_{C_{1}$ = $\frac{3\times 2!}{2!}$ = 3.

Probability = $\frac{3}{14}$

b) The number of ways the marble drawn is red = $5_{C_{1} }$ = $\frac{5\times 4!}{4!}$ = 5.

Probability = $\frac{5}{14}$

c) The number of ways the marble drawn is blue = $4_{C_{1} } = \frac{4\times 3!}{3!}$ = 4.

Probability = $\frac{4}{14} = \frac{2}{7}$

d) The number of ways the marble drawn is green = $2_{C_{1} } = \frac{2\times 1!}{1!}$ = 2.

Probability = $\frac{2}{14} =\frac{1}{7}$

e) The number of ways the marble drawn is not white = $11_{C_{1} } = \frac{11\times 10!}{10!}$ = 11.

Probability = $\frac{11}{14}$

f) The number of ways the marble drawn is not red = $9_{C_{1} } = \frac{9\times 8!}{8!}$ = 9.

Probability = $\frac{9}{14}$

Hence, $\frac{3}{14}$ is the probability that the marble is white.

$\frac{5}{14}$ is the probability that the marble is red.

$\frac{2}{7}$ is the probability that the marble is blue,

$\frac{1}{7}$ is the probability that the marble is green.

$\frac{11}{14}$ is the probability that the marble is not white.

$\frac{9}{14}$ is the probability that the marble is not red.