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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?

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Answer:

The probability is 0.0442

Step-by-step explanation:

If they all come from the same class, what it means is that we select 4 sophomores or , 4 juniors or 4 seniors

When we have or, it means we are to add each possible probability scenarios

The total number from which we want to select from is;

5 + 11 + 13 = 29

So the probability will be;

5C4/29C4 or 11C4/29C4 or 13C4/29C4

= 5C4/29C4 + 11C4/29C4 + 13C4/29C4

=0.0442