ESP experiment. A person has agreed to participate in an extrasensory perception (ESP) experiment. He is asked to randomly pick two numbers between 0 and 9, inclusive. The second number must be different from the first. Let H = event the first number is 5, and K = event the second number picked exceeds 7. Complete parts

(a) through

(e) below.

a. Determine P(H).

b. Determine P(K | H).

c. Determine P(H & K).

d. Find the probability that both numbers picked are less than 4.

e. Find the probability that both numbers picked are greater than 4.