SOLUTION: Suppose a die is rolled twice and let A={first toss is a prime} B={second toss is even} Find the requested probability.(enter the probability as a fraction) P(A n B)

Question 1197250: Suppose a die is rolled twice and let
A={first toss is a prime} B={second toss is even}
Find the requested probability.(enter the probability as a fraction)
P(A n B)
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

A={first toss is a prime}
B={second toss is even}

set of prime numbers between 1 and 6 = {2, 3, 5}
set of even numbers between 1 and 6 = {2, 4, 6}

P(A) = probability that the first toss is a prime
P(A) = (number of primes between 1 and 6)/(number of faces on the die)
P(A) = 3/6
P(A) = 1/2

P(B) = (number of even numbers between 1 and 6)/(number of faces on the die)
P(B) = 3/6
P(B) = 1/2

P(A n B) = probability both A and B occur
P(A n B) = P(A)*P(B) which works since the events are independent
P(A n B) = (1/2)*(1/2)
P(A n B) = 1/4

RELATED QUESTIONS
Suppose a die is rolled twice and let A = {first toss is a prime} B = {first toss is... (answered by ikleyn)

Suppose a die is rolled twice and let A = {first toss is a prime} C = {second toss is (answered by ikleyn,math_tutor2020,greenestamps)

Suppose a die is rolled twice and let B = {first toss is a 1} D = {second toss is a... (answered by ikleyn)

A die is tossed twice. Find the probability of getting a 3 or 4 on the first toss and a... (answered by ikleyn)

If a die is toss once what is the probability of obtaining even or prime number (answered by Boreal,MathTherapy)

A fair die is rolled three times. What is the probability that it shows an even number in (answered by stanbon)

A fair die is rolled three times. What is the probability that it shows an even number in (answered by math_helper)

A fair die is tossed twice.find the probability of getting 4,5, or 6 on the first toss... (answered by ewatrrr,ikleyn)

A fair die tossed twice. Find probability getting A 4,5 or 6 on the first toss and... (answered by math_helper)