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A drawer contains a mixture of red and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or both are blue. The largest possible number of red socks in the drawer that is consistent with this data is


Question ID - 153501 :-

A drawer contains a mixture of red and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or both are blue. The largest possible number of red socks in the drawer that is consistent with this data is

1 Answer
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Answer Key : (7) -

(7)

Let there be  red socks and  blue socks. Let

Then,

Since

As  must be an integer

Solving, we get



Next Question :

Two different numbers are taken from the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). The probability that their sum and positive difference are both multiple of 4 is , then  equals


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