SOLUTION: 3. Suppose that you roll a fair die 5 times. What are the odds that you roll
a) Exactly 4 sixes
b) At least 4 sixes.
Algebra.Com
Question 1185443: 3. Suppose that you roll a fair die 5 times. What are the odds that you roll
a) Exactly 4 sixes
b) At least 4 sixes.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
a) exactly 4 sixes
The probability of a 6 on each roll is 1/6; the probability of any other outcome is 5/6.
The number of orders in which you can get exactly 4 sixes in 5 rolls is C(5,4).
P(4 sixes in 5 rolls) =
ANSWER: 25/7776
b) at least 4 sixes
To the answer for part a, add the probability of getting sixes on all 5 rolls.
P(5 sixes on 5 rolls) =
ANSWER: 26/7776 (simplify if required)
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