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Chapter 13: Q. 16 (page 869)

If you roll a die five times, what is the probability that you obtain exactly 2 fours?

Short Answer

Expert verified

The probability of getting exactly two fours is0.16

Step by step solution

01

Step 1. Given information.

A die is rolled 5 times.

Die has 6 faces on which 6 different numbers: {1,2,3,4,5,6}.

02

Step 2. The probability of getting exactly 2 fours.

The probability of getting 4 in one roll is:p=16

The probability of not getting 4 in one roll is:

q=1-16=56

So, Probability of getting 2 fours in 5 times is:

P=c25p2q5-2=5!2!(5-2)!162563=5!2!3!165.53=5脳4脳3脳2脳12脳1脳3脳2脳1脳125165=125065=12507776=0.16

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