chamishkasureni chamishkasureni

08-01-2023
Mathematics

Answered

1. In my drawer I have 5 identical red socks, 3 identical blue socks and 2 identical green socks. I draw socks out of the drawer in turn and without replacement, colour unseen. Using probability trees or otherwise, evaluates the following probabilities. Show your arguments clearly. a) I draw two socks out of the drawer. What is the probability that they are a pair (ie. both the same colour)? b) Suppose the first sock drawn is a red one. If I draw two more socks, what is the probability that I have a pair among the three socks? c) Suppose the first two socks are one red and one blue. If I draw two more socks, what is the probability that I have two pairs?

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