Question

Suppose a jar contains 10 red marbles and 23 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round to at least 2 decimal places.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

red marbles = 10

blue marbles = 23

Step 02:

probability:

probability (event) = favorable outcomes / total outcomes

1. probability (red marble):

$p=\frac{10}{23+10}=\frac{10}{33}=0.30303$

2. probability (red marble):

$p=\frac{9}{23+9}=\frac{9}{32}=0.28125$

total probability:

$p=0.30303*0.28125=0.0852=0.09$

The answer is:

p = 0.09