There are total 117 pairs of socks in clothes bin.Each pair of socks is placed in a bag. The probabilities of selecting yellow pair of socks and grey pairs at random from the bin are 2 by 9 and 3 by 13 respectively. Find the number of pair of socks in the bin which are i) yellow ii) neither yellow nor grey
Answers
Given : total 117 pairs of socks in clothes bin.Each pair of socks is placed in a bag. The probabilities of selecting yellow pair of socks and grey pairs at random from the bin are 2 by 9 and 3 by 13 respectively.
To find : number of pair of socks in the bin which are i) yellow ii) neither yellow nor grey
Solution:
Total Pair of Socks = 117
probabilities of selecting yellow pair of socks = 2/9
=> yellow pair of socks = (2/9) * 117
=> yellow pair of socks = 2 * 13
=> yellow pair of socks = 26
probabilities of selecting green pair of socks = 3/13
=> green pair of socks = (3/13) * 117
=> green pair of socks = 3 * 9
=> green pair of socks = 27
number of pair of socks in the bin which are neither yellow nor grey
= Total - Yellow - Green
= 117 - 26 - 27
= 64
number of pair of socks in the bin
Yellow = 26
neither yellow nor grey = 64
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