Fred's Surfboard Shop makes surfboards by hand. The number of surfboards that Fred makes during a week depends on the wave conditions. Fred has estimated the following probabilities for surfboard production for the next week.
Number of Surfboards 5 6 7 8 9 10
Probability 0.13 0.22 0.3 0.1 0.15 0.1
Let event A be that Fred produces more than six surfboards. Let event B be that Fred produces less than eight surfboards. Which of the following statements is true?
a. P(A and B) = 0
b. P(A) = P(B)
c. P(A or B) = P(A) + P(B)
A Complete, Neat and Step-by-step Solution is provided in the attached file.