1. Consider the given conditions:

P(A U B) = 0.93; P(A) = 0.65; P(B) = 0.57

Determine the value of P(A B)

2. Consider the given conditions:

P(A B) = 0.31; P(A) = 0.45; P(B) = 0.69

Determine the value of P(A U B)

3. A pair of dice is rolled. What is the probability of getting:

a. a sum of 5 or 6?

b. a sum of 10 or 11?

c. a sum of 9 or a sum less than 5?

4If a card is drawn from a deck of 52 playing cards, what is the probability of getting:

a. an ace or a king card?

b. a black card or a red card?

c. a face card or a red card?

d. a club card or a heart card?

5. Of 120 students, 60 are studying Math, 50 are studying Physics and 20 are studying both math and Physics. If a student is chosen at random, find the probability that the student is studying Math or Physics?

6. A coin is tossed 8 times in succession. What is the probability that at least 1 tail occurs?