A person has agreed to participate in an extrasensory perception (ESP) experiment. He is asked to randomly pick two numbers between 1 and 6. The second number must be different from the first. Let
H = event the first number picked is a 3, and
K = event the second number picked exceeds 4.
Determine
a. P(H).
b. P(K | H).
c. P(H & K).
Find the probability that both numbers picked are
d. Less than 3.
e. Greater than 3.