SOLUTION: . A fair die is tossed 8 times. Determine the probabilities of the following events: a. Event that 6 dots come up in exactly 5 of the 8 tosses b. Event that 6 dots come up in at

Algebra ->  Probability-and-statistics -> SOLUTION: . A fair die is tossed 8 times. Determine the probabilities of the following events: a. Event that 6 dots come up in exactly 5 of the 8 tosses b. Event that 6 dots come up in at       Log On


   

Question 1159300: . A fair die is tossed 8 times. Determine the probabilities of the following events:
a. Event that 6 dots come up in exactly 5 of the 8 tosses
b. Event that 6 dots come up in at least 5 of the 8 tosses
c. Event that 6 dots come up only in the last 5 tosses
Answer by greenestamps(13203) About Me  (Show Source):
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a. Event that 6 dots come up in exactly 5 of the 8 tosses

6 on each of 5 tosses (probability 1/6 each); other result on 3 tosses (probability 5/6 each):
P+=+C%288%2C5%29%2A%28%281%2F6%29%5E5%29%2A%28%285%2F6%29%5E3%29

b. Event that 6 dots come up in at least 5 of the 8 tosses

5 OR 6 OR 7 OR 8 6's on the 8 tosses -- add the probabilities:


c. Event that 6 dots come up only in the last 5 tosses

This simply means that the first three tosses are all NOT 6's:
P+=+%285%2F6%29%5E3

You can do the calculations.