A box containairs ten red chips numbered 1 to 10 . And ten blue chips numbered f

Question

A box containairs ten red chips numbered 1 to 10 . And ten blue chips numbered from 1 to 10.

1.What is the probality that both chips are red? 2.what is the probability the first chip is red and second chip is blue? 3.what is the probability that the first chip is red and second chip has number 7 on it?
A box containairs ten red chips numbered 1 to 10 . And ten blue chips numbered from 1 to 10.

1.What is the probality that both chips are red? 2.what is the probability the first chip is red and second chip is blue? 3.what is the probability that the first chip is red and second chip has number 7 on it?
A box containairs ten red chips numbered 1 to 10 . And ten blue chips numbered from 1 to 10.

1.What is the probality that both chips are red? 2.what is the probability the first chip is red and second chip is blue? 3.what is the probability that the first chip is red and second chip has number 7 on it?

Explanation / Answer

Here' how to answer the question. I will assume we have replacement after drawing out coins.

There are 10 red, 10 blue chips. Each number ( eg. 1) has 2 coins.

1. P(both red) = 10C2 / 20C2 = .2368

2. P(1st red, 2nd blue) = 10C1*10C1/20C2 = .5263

3. P(1st red, 2nd 7) = no. of ways we get red chip * no. of 7s out of 20 chips / 20C2 = (10*2)/20C2 = .1053

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