P(A and B)

P(A ∩ B) is the same as P(A and B)!

PRO TIP: To remember this, I think of the "∩" symbol as the "n" in "a∩d"!

The formula for two independent events occurring at the same time (a.k.a. "and" / "∩") is:

P(A ∩ B) = P(A) x P(B)

What is the sample space (S) for all outcomes on a six-sided die?

S = {1, 2, 3, 4, 5, 6}

S_A = {1, 2, 3, 4, 5, 6}

Two out of the six potential outcomes fall in Event A...

P(A) = 2 / 6
P(A) = 1/3

S_B = {1, 2, 3, 4, 5, 6}

Three out of the six potential outcomes fall in Event B...

P(B) = 3 / 6
P(B) = 1/2

P(A ∩ B) = 1/3 x 1/2
P(A ∩ B) = 1/6

Answer: The probability of rolling a number greater than 4 and rolling an odd number is 1/6.