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Daniel invites 7 people to his Birthday party of which 3 are his sch
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12 Nov 2024, 00:18
12 Nov 2024, 00:18
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Daniel invites 7 people to his Birthday party of which 3 are his school friends and 4 are his college friends. After the party gets over, he gives 2 identical gifts to two of his friends. What is the probability that he gives the two gifts to his college friends?
A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 5/7
A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 5/7
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Re: Daniel invites 7 people to his Birthday party of which 3 are his sch
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20 Dec 2024, 11:03
20 Dec 2024, 11:03
Expert Reply
Out of the 7 people Daniel invites to his birthday party, 3 are his school friends \& 4 are his college friends; we need to find the probability that the two identical gifts that Daniel gives to his friends were given to his college friends.
The probability that the two gifts were given to Daniel's college friends is same as while the selection of two friends out of 7 friends 2 college friends got selected.
Finally as we know that Probability of an event $\(=\frac{ Favourable number of outcomes }{Total number of outcomes }\)$, the probability of the two gifts given two Daniel's college friends $\(=\frac{4}{7} \times \frac{3}{6}=\frac{2}{7}\)$
Hence the answer is (B).
The probability that the two gifts were given to Daniel's college friends is same as while the selection of two friends out of 7 friends 2 college friends got selected.
Finally as we know that Probability of an event $\(=\frac{ Favourable number of outcomes }{Total number of outcomes }\)$, the probability of the two gifts given two Daniel's college friends $\(=\frac{4}{7} \times \frac{3}{6}=\frac{2}{7}\)$
Hence the answer is (B).
gmatclubot
Re: Daniel invites 7 people to his Birthday party of which 3 are his sch [#permalink]
20 Dec 2024, 11:03
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