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

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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)   (Show Source): You can put this solution on YOUR website!


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):


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:


You can do the calculations.


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