Ask Question
9 January, 14:12

Now suppose the roster has 3 guards, 5 forwards, 3 centers, and 2 "swing players" (x and y) who can play either guard or forward. if 5 of the 13 players are randomly selected, what is the probability that they constitute a legitimate starting lineup? (round your answer to three decimal places.)

+4
Answers (1)
  1. 9 January, 16:32
    0
    You are given a roster with 3 guards, 5 forwards, 3 centers, and 2 "swing players" (x and y) who can play either guard or forward. You are given a condition that 5 of the 13 players are randomly selected. You are asked to find the probability that they constitute a legitimate starting lineup.

    For these cases, there are a lot so,

    legitimate ways:

    two swings and one gurad = 2C2*5C2*3C1 = 30

    two swings used as forwards = 3C2*2C2*3C1 = 9

    two swings used one guard = 2C1*3C1*1C1*5C1*3C1 = 90

    one swing used as forward = 3C2*2C1*5C1*3C1 = 90

    zero swing used = 3C2*5C2*3C1 = 90

    total of legitimate ways = 489

    Total ways = 13C5 = 1287

    The probability that they constitute a legitimate lineup is = 489/128 = 0.38
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Now suppose the roster has 3 guards, 5 forwards, 3 centers, and 2 "swing players" (x and y) who can play either guard or forward. if 5 of ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers