Question

She wants to play cornhole, but she does not have enough pink bean bags with her set. However, Sarah keeps a box of spare bean bags in her garage. If the box contains one yellow, four blue, three red and two pink bean bags, what is the probability to the nearest tenth of a percent that she will select the two pink bean bags from the box on her first two attempts, without replacing the first bean bag?2.2%1.1%4.3%3.6%

Answer 1

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

Step 01:

Data:

yellow bag = 1

blue bags = 4

red bags = 3

pink bags = 2

Step 02:

probability (without replacing):

p(x) = favorable outcomes / total outcomes

total outcomes = 1 + 4 + 3 + 2 = 10

Event 1:

p(p) = 2 / 10 = 0.2

Event 2:

p(p) = 1 / 9 = 0.11

total probability = 0.2 * 0.11 = 0.022

0.022 * 100% = 2.2%

The answer is:

2.2%