SOLUTION: The Sample Space for the Rolling a Die experiment is U={1,2,3,4,5,6}. Let's define events A={2,4,6} and B={1,2}. Find the following: a. P(A or B) b. P(A and B)

Algebra ->  Probability-and-statistics -> SOLUTION: The Sample Space for the Rolling a Die experiment is U={1,2,3,4,5,6}. Let's define events A={2,4,6} and B={1,2}. Find the following: a. P(A or B) b. P(A and B)      Log On


   

Question 1168715: The Sample Space for the Rolling a Die experiment is U={1,2,3,4,5,6}. Let's define events A={2,4,6} and B={1,2}. Find the following:
a. P(A or B)
b. P(A and B)
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The only way to fail A or B is to roll a 3 or a 5.

The only way to be successful at A and B is to roll a 2.


John

My calculator said it, I believe it, that settles it


I > Ø

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  The event  (A or B) is this set  {1,2,4,6}.


      It consists  of 4 possible disjoint outcomes, each with the probability of  1%2F6.

      Therefore,  P(A or B) = 4%2F6 = 2%2F3.      ANSWER




(b)  The event  (A and B) is this set  {2},  consisting of 1 (one)  outcome with the probability  1%2F6.

      Therefore,  P(A and B) = 1%2F6.          ANSWER

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Solved, answered and explained.