SOLUTION: In a class of 24 girls, 7 have black hair. a. If 2 girls are chosen at random from the class, find the probability that: i. they both have black hair ii. neither has black hair

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Question 364999: In a class of 24 girls, 7 have black hair.
a. If 2 girls are chosen at random from the class, find the
probability that:
i. they both have black hair
ii. neither has black hair

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

7 have black hair and 17 have not black hair.
no. of ways to choose 2 girls from 24 = 24C2
(i) no. of ways to choose 2 black hair girl = 7C2

probability = 7C2 / 24C2

(ii) no. of ways to choose 2 non-black hair girl = 17C2

probability = 17C2 / 24C2