On a multiple-choice exam, there are four questions, and each question has threeanswers only one of which is correct. A student just makes random guessing on all four questions.

a) What is the probability that at least one question will have a correct answer?65/81

Question 9 options:

65/81

16/81

2/3

64/81

Real estate suggests that 91% of homes for sale have garages (let it be an event A), 14% have swimming pools (let it be an event B) , and 10% have both features: a garage and a pool.

a) What is the probability that a home selected at random hasat leastone feature (either a garage, or a pool, or both features)?

Question 10 options:

0.95

0.9

1

0.96

Real estate suggests that 91% of homes for sale have garages (let it be an event A), 14% have swimming pools (let it be an event B) , and 10% have both features: a garage and a pool.

b) Point out the probabilities of four events shown in the Venn diagram below.Please, list numbers in the order specified in the diagram. (Hint: Anyway, the sum of the probabilities should equal one.)