Probability Addition Rule Mutually Exclusive

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 and an odd number are mutually exclusive.

• True

• False

If events A and B are mutually exclusive, what is P(A and B)?

Mathematical Equivalence

ON

Answer explanation

If events are mutually exclusive, they cannot happen at the same time. The probability would be 0

Two events are mutually exclusive if they have ​ (a)   outcome(s) in common. This means that 𝑃(𝐴 ∩ 𝐵) =

​ (b)   .

• No

• 0

• One

• Many

• 1

• Between 0 & 1

Mathematical Equivalence

ON

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are mutually exclusive.

• True

• False

If a spinner is numbered 1 – 8, when you spin it the events of spinning an odd number and spinning an 8 are mutually exclusive.

• True

• False

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3

• 1/3

• 1/2

• 1/6