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        Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
6 months ago

## Answers : (1)

Arun
21037 Points
							Dear Pawan  In total there are 5 horses. out of these Mr A selects two horses. This can be done in $\binom{5}{2}$(5C2)=10 ways.Out of the five horses only one horse wins. Let us say Mr A has selected the horse. He has to select one more horse so that his set of two has the winning horse. out of remaining 4 one can be selected in $\binom{4}{1}$ways.Thus $n(E)=\binom{4}{1}=4$$n(S)=\binom{5}{2}=10$$\Rightarrow P(E)=\frac{n(E)}{n(S)}=\frac{4}{10}=\frac{2}{5}$

6 months ago
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• Test paper with Video Solution
• Mind Map
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• NCERT Solutions
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• Previous Year Exam Questions