Ask Question
1 October, 09:28

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

what is the probability that there are at least 3 girls in the group that watch the movle?

+3
Answers (1)
  1. 1 October, 09:48
    0
    53.57%

    Step-by-step explanation:

    We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so:

    # of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3) !) * 3! / (2! * (3-2) !)

    = 10 * 3 = 30

    That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

    # of random groups of 5 = 8C5 = 8! / (5! * (8-5) !) = 56

    That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

    P (3 girls and 2 boys) = 30/56 = 0.5357

    Which means that the probability is 53.57%
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 what is the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers