Sarah has 1 red cube, 1 green cube, 1 purple cube, and 1 black cube. If Sarah picks two items from the bag, without replacing, what is the probability she will pick a red cube a…

Question

asked Oct 15, 2021 118k views

1 Answer

Huliax · Answer 1 · 2021-10-21T02:50:41+0000

Given:

Sarah has 1 red cube, 1 green cube, 1 purple cube, and 1 black cube.

Sarah picks two items from the bag without replacement.

We need to determine the probability that she will pick a red cube and then a black cube.

Probability:

The probability to pick a red cube is
P(R)=(1)/(4)

The probability to pick a black cube without replacement is
P(B)=(1)/(3)

The probability to pick a red cube and then a black cube is given by

$P(RB)=P(R) \cdot P(B)$

Substituting the values, we have;

$P(RB)=(1)/(4) \cdot (1)/(3)$

P(RB)=(1)/(12)

Thus, the probability that Sarah will pick a red cube and then a black cube is
(1)/(12)