Mutually Exclusive and Not Mutually Exclusive Events

Rolling an odd number and rolling an even number on a normal six-sided die are

• Mutually exclusive

• Not mutually exclusive

Rolling a prime number and rolling an even number on a normal six-sided die are

• Mutually exclusive

• Not 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

• Not Mutually Exclusive

Mathematical Equivalence

ON

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

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

• Not Mutually Exclusive

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

• Mutually Exclusive

• Not Mutually Exclusive

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

• Mutually Exclusive

• Not Mutually Exclusive

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

• Mutually Exclusive

• Not Mutually Exclusive