# A Die is Thrown, Then Find the Probability of the Following Events:A is an Event: Getting a Perfect Square. B is an Event: Getting a Prime Number. - Algebra

Sum

A die is thrown, then find the probability of the following events:

A is an event: getting a perfect square.

B is an event: getting a prime number.

#### Solution

Sample Space S ≡ {1, 2, 3, 4, 5, 6}
∴ n(s) = 6

A ≡ { Event getting a perfect square}
≡ { 1, 4}
n(A) = 2
∴"P"("A") = ("n"("A"))/("n"("s"))=2/6=1/3

B≡ { Event getting a prime number}
B ≡ { 2, 3, 5}
n(B) = 3
∴"p"("B") = ("n"("B"))/("n"("s"))=3/6 = 1/2

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