Question

Annika has a sock filled with 3 red and 5 green marbles,

What is the probability of her choosing two red marbles in a row with replacement? Express your answer as a fraction in lowest terms.

Answer 1

The probability is ⁹/₆₄

Explanation:

Given;

number of red marbles, R = 3

number of green marbles, G = 5

Total number of marbles, T = 8

The probability of choosing two red marbles in a row with replacement;

`P(2 R) = P(R_1 \ n \ R_2)\\\\P(2 R) = (3)/(8) \ * \ (3)/(8) \\\\P(2 R) = (9)/(64)`

Therefore, the probability of choosing two red marbles in a row with replacement is ⁹/₆₄