Compound/Independent/Dependent Probabililty

Front

What is the definition of independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the definition of dependent events in probability?

Back

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

Front

How do you calculate the probability of two independent events occurring together?

Back

To find the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of two dependent events occurring together?

Back

To find the probability of two dependent events A and B occurring together, multiply the probability of the first event by the conditional probability of the second event given the first: P(A and B) = P(A) * P(B|A).

Front

What is the probability of rolling a die and landing on a specific number?

Back

The probability of rolling a die and landing on a specific number (e.g., 4) is 1/6, since there are 6 possible outcomes.

Front

What is the probability of rolling a die and landing on an even number?

Back

The probability of rolling a die and landing on an even number (2, 4, or 6) is 3/6 or 1/2.

Front

What is the formula for calculating the probability of selecting two items without replacement?

Back

The probability of selecting two items without replacement is calculated as: P(A and B) = P(A) * P(B after A).

Front

What is the total number of outcomes when rolling a die twice?

Back

The total number of outcomes when rolling a die twice is 6 * 6 = 36.

Front

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

Back

The probability of rolling an odd number (1, 3, or 5) on a die is 3/6 or 1/2.

Front

How do you calculate the probability of selecting multiple fruits from a basket without replacement?

Back

To calculate the probability of selecting multiple fruits without replacement, multiply the probabilities of each selection based on the remaining items.