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On a high school varsity baseball​ team, 5 players are​ sophomores, 11 are​ juniors, and 13 are seniors. The team selects 4 honorary​ co-captains by drawing names from a hat.​ What's the probability that all 4​ co-captains come from the same​ class?

2 Answers

5 votes

Answer:

4 in 33

Explanation:

all you do is add the amount of people and the propability number first

4 in 33

User Chrisguttandin
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7 votes

The probability that all 4 co-captains come from the same class is 0.0442

The probability of coming from the same class can be defined thus :

They can either be Juniors , Seniors or Sophomores

Total number of students = (11 + 13 + 5) = 29

All juniors :

  • 11/29 * 10/28 * 9/27 * 8/26 = 0.0139

All Seniors :

  • 13/29 * 12/28 * 11/27 * 10/26 = 0.0301

All Sophomores :

  • 5/29 * 4/28 * 3/27 * 2/26 = 0.000211

P(All come from the same class) = 0.0139 + 0.0301 + 0.000211 = 0.0442

Hence, the probability that all 4 co-captains come from the same class is 0.0442

User Pew Labs
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4.4k points