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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will watch the movie, what is the probability that there are at least 3 girls in the group that watch the movie?

2 Answers

4 votes

Answer: C: 56

Step-by-step explanation: trust me

User Chevett
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2 votes
The total number of ways 5 people can be selected out of 8 is 8C5 (combination of 8 taken 5) which is equal to 56. Given the conditions that at least three girls should watch the movie.
(1) girls - 3 ; boys - 2 ; (5C3) x (3C2) = 30
(2) girls - 4 ; boy - 1 ; (5C4) x (3C1) = 15
(3) girls - 5 ; boy - 0 ; (5C5) x (3C0) = 1

Adding all the three possibilities, 46. The probability is the ratio of this value and the total number, 56. Thus, the answer is approximately 0.80.
User Class Skeleton
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