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 multiplication rule for independent events.

Front

How do you calculate the total number of outcomes when tossing a coin and rolling a die?

Back

To find the total outcomes, multiply the number of outcomes for each event. A coin has 2 outcomes (heads or tails) and a die has 6 outcomes. Therefore, total outcomes = 2 * 6 = 12.

Front

What is the probability of rolling a 6 on a die?

Back

Front

What is the probability of rolling a number less than 5 on a die?

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Front

What is experimental probability?

Back

Experimental probability is the probability based on the actual results of an experiment. It is calculated as the number of successful outcomes divided by the total number of trials.

Front

How do you find the probability of two independent events occurring?

Back

To find the probability of two independent events occurring, multiply their individual probabilities together.

Front

What is the probability of picking a blue marble and then a red marble if you replace the blue marble?

Back

Front

If you pick a red marble and keep it, how does that affect the probability of picking a green marble next?

Back

If you keep the red marble, the probability of picking a green marble becomes more likely because there is one less marble in total.

Front

What is the formula for calculating compound probability for dependent events?

Back

For dependent events, the formula is: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

Front

What is the probability of getting a 6 on the first roll and a number less than 5 on the second roll?

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