SOLUTION: A regular die is rolled 5 times. What is the probability of getting a prime number from rolling a die 5 times

Algebra ->  Probability-and-statistics -> SOLUTION: A regular die is rolled 5 times. What is the probability of getting a prime number from rolling a die 5 times      Log On


   

Question 1148633: A regular die is rolled 5 times. What is the probability of getting a prime number from rolling a die 5 times
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Not clear....

the probability of getting a prime on every roll?
of getting a prime at least once in 5 rolls?
or something else?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

I will read the post in this way (my editing is underlined) : 

    A regular die is rolled 5 times. What is the probability of getting at least one prime number from rolling a die 5 times ?


Solution 

There are 6 possible outcomes 1, 2, 3, 4, 5 an 6 of each roll.


Three outcomes (2, 3, 5) are prime numbers, the other three are not.


So, the probability DO NOT get a prime number in each roll is 1%2F2.


Hence, the probability DO NOT get a prime number in all 5 rolls is  %281%2F2%29%5E2 = 1%2F2%5E5 = 1%2F32.


Then the probability to get at least one prime number in 5 rolls is  the COMPLEMENT to it:


    P = 1 - 1%2F32 = 31%2F32.      ANSWER

Solved.