Identifying Independent/Dependent Variables and Mutually Exclusive

If A and B are mutually exclusive, which statement below must be true?

• P(A∩B) = 0

• P(A|B) = 0

• P(A∪B) = 0

• P(A) + P(B) = 1

If A and B are independent, which statement must be true?

• P(A∩B) = 0

• P(A|B) = P(A)

• P(A∪B) = 0

• P(A) + P(B) = 1

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

• True

• False

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.

• True

• False

If you are picking a card randomly from a deck of cards, the events of picking a spade and picking a diamond are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an odd number and rolling a prime are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an even and an odd number are mutually exclusive.

• True

• False

If A and B are mutually exclusive then...

• They are always independent

• They may be dependent or independent

• They are always dependent

When picking two cards from a pack (without putting the first one back) the two outcomes are:

• Dependent

• Independent