A college team plays 10 football games during a season. In how many ways can it

Question

A college team plays 10 football games during a season. In how many ways can it end the season with 5 wins, 4 losses, and 1 tie? A shipment of 10 television sets includes 3 that are defective. In how many ways can a hotel purchase 4 of these sets and receive at least 2 of the defective set? Suppose that A and B are independent events with P(A) =1/4, P(B) = 2/3, please find a. P(A Intersection B) b. P(B Union A): c. P(B Union A') Bowl B, contains 2 white chips, bowl B_2 contains 2 red chips, Bowl B_3 contains 2 white and 2 red chips, and Bowl B_4 contains 3 white and 1 red chips. The probabilities of selecting bowl B_1, B_2, B_3, or B_4 are 1/2, 1/4, 1/8, and 1/8, respectively. A chip is drawn at random. Please find a. P(W), the probability of drawing a white chip: b. P(B_1|W).

Explanation / Answer

Solution 5)

This is the combination problem .

There are 10C5 ways to choose which 5 games they win.

= 10C5 * 5C4 * 1C1 = 252 * 5 * 1 = 1260 ways

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