Question

1. A drawer contains black, brown, and white socks. How many socks ensure two of the same color? 2. With 2,0,3 and 6 how many three digits even numbers can be generated without replacements? 3. We selected 20 persons by the random. What is the probability that only 3 of them have the same birthday at August? Find the probability that only 3 of them have the common month for their birthday?

Answer 1

1) We know that there are socks of three colours in the drawer. So, in order to have socks of the same colour, one would need to have four socks. This is because, there are three colours of socks available, so if we have more than three socks, then the colour of the socks would be repeated. So, we need to have 4 socks in order to ensure socks of the same colour.

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