Gr 10 Math Ch 11: Mutually Excluive Events

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What defines mutually exclusive events?

They are dependent on each other.

They can occur simultaneously.

They cannot occur at the same time. (correct)

They always share at least one common outcome.

Which of the following statements about the probability of mutually exclusive events is true?

The intersection of two events is equal to the sum of their probabilities.

The probability of their union is equal to the sum of their individual probabilities. (correct)

The probability of their union is the product of their individual probabilities.

The intersection of two mutually exclusive events is never empty.

In a Venn diagram representing mutually exclusive events, what does the intersection represent?

An empty set indicating no shared outcomes. (correct)

The combined outcome probabilities of both events.

The total probability of both events occurring.

The elements that belong to both events.

If event A has a probability of 0.3 and event B has a probability of 0.5, what is the probability of A union B?

0.8 Signup and view all the answers

Which scenario illustrates mutually exclusive events?

Choosing a color from a set of red or blue and getting both colors. Signup and view all the answers

Which representation correctly illustrates mutually exclusive events in a Venn diagram?

Two circles that do not overlap at all. Signup and view all the answers

Which statement accurately describes the relationship between two mutually exclusive events?

If one event occurs, the other cannot. Signup and view all the answers

What is the correct expression for the probability of the union of two mutually exclusive events?

P(A ∪ B) = P(A) + P(B) Signup and view all the answers

In a Venn diagram for mutually exclusive events, what does the absence of overlap between sets A and B indicate?

The events are mutually exclusive. Signup and view all the answers

If event A has a probability of 0.4 and event B has a probability of 0.2, while being mutually exclusive, what is the probability of A union B?

0.6 Signup and view all the answers

Which of the following scenarios represents mutually exclusive events?

A student passing or failing an exam. Signup and view all the answers

How can you visually represent mutually exclusive events in a Venn diagram?

Circles that do not overlap at all. Signup and view all the answers

In terms of mutually exclusive events, which of the following statements is false?

The intersection of events A and B is always non-empty. Signup and view all the answers

If event A occurs with a probability of 0.6 and event B occurs with a probability of 0.4, what is the probability of the union of A and B, assuming they are mutually exclusive?

1.0 Signup and view all the answers

Which of the following scenarios does NOT represent mutually exclusive events?

Rolling a die resulting in an even number or an odd number. Signup and view all the answers

What implication does the notation $P(A ext{ intersection } B) = ext{empty set}$ have for events A and B?

Events A and B are mutually exclusive. Signup and view all the answers

In a Venn diagram for mutually exclusive events, which graphical representation is correct?

Two circles completely separate from one another. Signup and view all the answers

If events A and B are represented as mutually exclusive in a Venn diagram, which of the following must hold true?

The total probability of all events equals 1.0. Signup and view all the answers

Gr 10 Math Ch 11: Mutually Excluive Events

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