# Lesson Worksheet: Mutually Exclusive Events Mathematics

In this worksheet, we will practice identifying mutually exclusive events and finding their probabilities.

**Q1: **

In each case, decide whether the two events are mutually exclusive or not.

Event : Rolling a 6-sided die and getting a number greater than 4.

Event : Rolling a 6-sided die and getting an odd number.

- ANot mutually exclusive
- BMutually exclusive

Event : Rolling an 8-sided die and getting a number less than 4.

Event : Rolling an 8-sided die and getting a number greater than 4.

- AMutually exclusive
- BNot mutually exclusive

Event : Rolling a 20-sided die and getting a prime number greater than 3.

Event : Rolling a 20-sided die and getting a factor of 15.

- AMutually exclusive
- BNot mutually exclusive

**Q2: **

If a die is rolled once, then what is the probability of getting an odd and an even number together?

**Q3: **

If and are two mutually exclusive events from a sample space of a random experiment, find .

**Q4: **

Suppose and are two mutually exclusive events. Given that , find .

**Q5: **

Two mutually exclusive events and have probabilities and . Find .

- A
- B
- C
- D

**Q6: **

Suppose and are two mutually exclusive events. Given that and , find .

**Q7: **

Suppose and are two mutually exclusive events. Given that and , determine .

**Q8: **

A small choir has Β a tenor singer, 3Β soprano singers, a baritone singer, and Β a mezzo-soprano singer. If one of their names was randomly chosen, determine the probability that it was the name of theΒ tenor singer or soprano singer.

- A
- B
- C
- D

**Q9: **

A bag contains red, blue, and green balls, and one is to be selected without looking. The probability that the chosen ball is red is equal to seven times the probability that the chosen ball is blue. The probability that the chosen ball is blue is the same as the probability that the chosen ball is green.

Find the probability that the chosen ball is red or green.

- A
- B
- C
- D

**Q10: **

In an animal rescue shelter, β of the current inhabitants are cats (C) and β are dogs (D).

Find the probability that an animal chosen at random is either a cat or a dog.

Find the probability that an animal chosen at random is neither a cat nor a dog.