Now we will address the problem that thousands of people encounter on daily basis. Suppose there is a box with socks in the dark room. There are socks of five different colours: black, brown, blue, red and green. But we do not see the colour in the dark. How many socks do we have to take to guarantee that we have two socks of the same colour?
Answers
Answer:
Just take a pair of any colour socks, in a pair there are two socks of the same colour!!
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Concept:
The precise definition of an independent event is one in which the occurrence of one event has no bearing on the occurrence of another. The likelihood that the two occurrences will occur is unrelated. With the help of examples, this article discusses the probability of independent events. If the likelihood of the occurrence of one event, E, is unaffected by the occurrence of another event, F, then E is said to be independent of F.
Given:
There are socks of five different colors: black, brown, blue, red and green.
Find:
We have to number of two socks of the same colour.
Solution:
Let's take the case of two independent events, (2/5 x 1/4).
Probability of first sock of same colour = 2/5.
Now, we will pick second sock of same colour = (2 - 1)/(5 - 1)
1/4
We will take the product of independent events,
2/5 x 1/4 = 0.1
The total of these five determines the likelihood that both are the same colour, regardless of which colour that happens to be.
(2/5 x 1/4) + (2/5 x 1/4) + (2/5 x 1/4) + (2/5 x 1/4) + (2/5 x 1/4)
= 5 (2/5 x 1/4)
= 2/4
= 1/2
= 0.5
Hence, the number of two socks of the same colour is 1/2 or 0.5.
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