The total of both number is 6

Question

Given that set P= ( 1,2,3,4,5 ) and set Q= ( 2,4,5,6,9,10 ). A number is chosen from each set. Find the probability.

Answer 1

5 numbers in the first set * 6 numbers in the second set = 30 total combinations.

P(1) has to have Q(5)

P(2) has to have Q(4)

P(3) has no match (no Q(3))

P(4) has to have Q(2)

P(5) has no match (no Q(1))

3 ways to make a total of 6

Probability of choosing once from P and once from Q and getting a total of 6 = 3/30 = 1/10 = 0.10

Answer:  0.10