Mutually Exclusive Events Worksheet
Explore mutually exclusive events in probability with this Grade 7 worksheet, featuring definitions, examples, and practice problems.
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Mutually Exclusive Events
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Read each question carefully and answer to the best of your ability. Show your work where applicable. Remember that mutually exclusive events cannot happen at the same time.
What are Mutually Exclusive Events?
Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other cannot. For example, when you flip a coin, it can either land on heads or tails, but not both at the same time. Therefore, landing on heads and landing on tails are mutually exclusive events.
Determine if the following pairs of events are mutually exclusive.
1. Drawing a red card and drawing a black card from a standard deck of cards.
True
False
2. Rolling an even number and rolling a number greater than 4 on a standard six-sided die.
True
False
3. Which of the following pairs of events are mutually exclusive?
Being a boy and being a student
Having blue eyes and having brown hair
Rolling a 3 and rolling a 5 on a standard six-sided die
Eating an apple and eating fruit
Complete the following sentences about mutually exclusive events.
4. If two events cannot happen at the same time, they are called events.
5. The probability of two mutually exclusive events both occurring is .
6. Explain why drawing a king and drawing an ace from a deck of cards are mutually exclusive events.
7. Consider the events of picking a number from 1 to 10. Let Event A be picking an even number, and Event B be picking an odd number. Draw a Venn diagram to represent these events and explain if they are mutually exclusive.