# probability of selecting gloves randomly

A box of 9 gloves contains two left handed gloves and seven right handed gloves.

a: If two gloves are randomly selected from the box, without replacement, what is the probability that both gloves will be right handed?

b: If two gloves are randomly selected from the box without replacement, what is the probability that there will be one right handed glove and one left handed glove?

c: If three gloves are selected with replacement, what is the probability that all three will be left-handed?

d: If you were sampling with replacement, what would be the answers to "a" and "b"?

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A box of 9 gloves contains two left handed gloves and seven right handed gloves.

a-If two gloves are randomly selected from the box, without replacement, what is the probability that both gloves will be right handed?

First this is a combination problem.

When you select 2 gloves from 9, you have combinations.

There are 7 right handed gloves, you have choices to select 2 out of 7.

Then the probability both gloves will be right handed is

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#### Solution Summary

The solution is comprised of detailed explanations of finding the probabilities of selecting gloves randomly both without replacement and with replacement.