Question

A jar contains 6 red balls, 3 green balls, 5 white balls and 7 yellow balls. Two balls are chosen from the jar with replacement what is the probability that both balls chosen are green.

A: 6/441
B: 2/49
C:1/49
D: None of the above

Answer 1

the answer is A.) 6/441

Answer 2

Option C is the correct answer.

Explanation:

Total number of balls in jar = 6 + 3 + 5 + 7 = 21

Total number of green balls = 3

Two balls are chosen from the jar with replacement we need to find what is the probability that both balls chosen are green,

Probability is the ratio of number of favorable outcome to total number of outcomes,

`\texttt{Probability of choosing green ball = }\frac{\texttt{Total number of green balls}}{\texttt{Total number of balls in jar}}\\\\\texttt{Probability of choosing green ball = }(3)/(21)=(1)/(7)`

`\texttt{Probability that both balls chosen are green = }(1)/(7)* (1)/(7)=(1)/(49)`

Option C is the correct answer.