Probability of 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

There are only Pink, Yellow, Green and Blue counters in a bag. The table shows the probability of picking each colour.

There are 40 counters in the bag. How many are blue?

• 2

• 8

• 4

• 6

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

There are fourteen shirts in your closet, seven blue and seven green. Six of the blue shirts and four of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or fits well.

Are the events in this problem mutually exclusive?

• Mutually Exclusive

• Not Mutually Exclusive

There are fourteen shirts in your closet, seven blue and seven green. Four of the blue shirts and three of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is green or is too big.

• 2/15

• 9/11

• 5/7

• 7/10

There are eleven shirts in your closet, five blue and six green. Three of the blue shirts and three of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is green or fits well.

• 1/4

• 2/5

• 9/11

• 3/4

A box of chocolates contains five milk chocolates and six dark chocolates. Four of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a milk chocolate or has peanuts inside.

Are the events in this problem mutually exclusive?

• Mutually Exclusive

• Not Mutually Exclusive