What’s the probability?

Question

Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green and 2 red marbles. Find probability that both marbles are white. Round to nearest thousandth

Answer 1

There are 8 marbles total (1 blue, 3 white, 2 green, and 2 red marbles).

W₁ = first marble is white

W₂ = second marble is white

P(W₁) = 3/8

P(W₂) = 2/7

P(W₁ ∩ W₂) = (3/8)*(2/7) = 6/56 = 3/28 = 0.107

The probability of drawing 2 white marbles, without replacement, is 0.107.