Answer to Question #297772 in Statistics and Probability for kool

Question #297772

Pramod goes to a shop to buy some clothes. Shopkeeper shows him 5 shirts, 6 pants and 13 t-shirts. If he selects three clothes at random, then find the probability that, randomly chosen clothes does not contain pant.

1
Expert's answer
2022-02-15T11:22:53-0500

There are 5+6+13=245+6+13=24 clothes. Pramod can select three clothes in (243)=2024.\dbinom{24}{3}=2024.

Then

P(No pants)=(5+133)(60)(243)=816(1)2024P(No\ pants)=\dfrac{\dbinom{5+13}{3}\dbinom{6}{0}}{\dbinom{24}{3}}=\dfrac{816(1)}{2024}

=102253=\dfrac{102}{253}

The probability that, randomly chosen clothes does not contain pant is 1022530.403.\dfrac{102}{253}\approx0.403.



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