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probability of choosing a particular color

by china
(ohio)











































suppose you choose a sock from a drawer containing 2 red socks 8 white socks and 6 blue socks you replace the first sock in the drawer and choose again what is the probabilty

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Oct 22, 2010
Math – Probability
by: Staff



The question:

by China
(Ohio)

suppose you choose a sock from a drawer containing 2 red socks 8 white socks and 6 blue socks you replace the first sock in the drawer and choose again what is the probability



The answer:

Suppose you choose a sock from a drawer containing:

2 red socks
8 white socks
6 blue socks

you replace the first sock in the drawer

you choose again

What is the probability ?


Before you make your first choice, there are 16 socks in the drawer.


Before you make your first choice, the theoretical probabilities of choosing each color are:

2 red socks, the theoretical probability of choosing a red sock from the drawer is 2/16 (12.5%)

8 white socks, the theoretical probability of choosing a white sock from the drawer is 8/16 (50%)

6 blue socks, the theoretical probability of choosing a blue sock from the drawer is 6/16 (37.5%)


After you make your first choice, you replace the sock in the drawer.



Now you choose again.

The probabilities of choosing each color are unchanged.

You did not change the probability of choosing a particular color by removing 1 sock and then returning it to the drawer.




Thanks for writing.


Staff
www.solving-math-problems.com




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