Compound Probability

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the addition rule for mutually exclusive events or the multiplication rule for independent events.

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. For example, when rolling a die, getting a 3 and getting a 5 are mutually exclusive events.

Front

Define inclusive events.

Back

Inclusive events are events that can occur at the same time. For example, drawing a card that is either a heart or a face card is an inclusive event because some cards can be both.

Front

What is the probability of rolling an odd number or a 4 on a die?

Back

The probability is 3/6 or 1/2, and the events are mutually exclusive.

Front

How do you calculate the total number of outfit combinations?

Back

Multiply the number of choices for each clothing item. For example, if there are 3 shirts and 4 pants, the total combinations are 3 x 4 = 12.

Front

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

Back

The formula is P(A and B) = P(A) * P(B).

Front

What does it mean to 'replace' an item in probability?

Back

To 'replace' an item means to put it back into the sample space after it has been selected, allowing it to be chosen again.

Front

What is the probability of choosing two pears from a basket of fruits without replacement?

Back

The probability is calculated as P(first pear) * P(second pear | first pear) = (5/25) * (4/24) = 1/30.

Front

What is the probability of landing on green twice when spinning a spinner with 6 equal sections?

Back

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.