Probability of Independent and Mutually Exclusive Events

Front

What is the definition of mutually exclusive events in probability?

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

What is the definition of independent events in probability?

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another event.

Front

How do you calculate the probability of mutually exclusive events?

Back

To calculate the probability of mutually exclusive events, you add their individual probabilities together.

Front

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability that either A or B occurs?

Back

0.8 (if A and B are mutually exclusive).

Front

What is the formula for calculating the probability of independent events occurring together?

Back

The probability of independent events A and B occurring together is calculated by multiplying their probabilities: P(A and B) = P(A) * P(B).

Front

If the probability of winning a game is 0.7, what is the probability of winning two consecutive games?

Back

0.49 (0.7 * 0.7).

Front

What is the probability that Mr. Passmore goes shopping and Artem does not go shopping if their probabilities are 0.2 and 0.45 respectively?

Back

0.11 (0.2 * (1 - 0.45)).

Front

What is the probability of rolling a total of 5 with two four-sided dice?

Back

0.25.

Front

What does it mean for two events to be dependent?

Back

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.

Front

How do you find the probability of at least one event occurring when dealing with independent events?

Back

To find the probability of at least one event occurring, you can use the formula: P(at least one) = 1 - P(none).