PS 5.1-5.4 Q

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, when rolling a die, rolling a 3 and rolling a 4 are mutually exclusive events.

Front

What does it mean for two events to be not mutually exclusive?

Back

Two events are not mutually exclusive if they can occur at the same time. For example, picking a red card and picking a heart from a deck of cards are not mutually exclusive events.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

What is the range of probability values?

Back

Probability values can only range between 0 and 1, where 0 means the event will not occur and 1 means the event will certainly occur.

Front

If a card is drawn from a standard deck, what is the probability of drawing a heart?

Back

The probability of drawing a heart from a standard deck of 52 cards is 13/52 or 0.25.

Front

What is the probability of rolling an even number on a six-sided die?

Back

The probability of rolling an even number (2, 4, or 6) on a six-sided die is 3/6 or 0.5.

Front

If the probability of an event A is 0.3, what is the probability of event A not occurring?

Back

The probability of event A not occurring is 1 - 0.3 = 0.7.

Front

What is the formula for calculating the probability of two independent events A and B occurring together?

Back

The probability of two independent events A and B occurring together is P(A) * P(B).

Front

What is the probability of drawing a jack from a standard deck of cards?

Back

The probability of drawing a jack from a standard deck of 52 cards is 4/52 or 1/13.

Front

What is the probability of selecting a sports car AND it being driven by a male?

Back

The probability of selecting a sports car AND it being driven by a male is calculated by finding the joint probability, which can be expressed as P(Sports Car) * P(Male | Sports Car).