Compound Probability 2024

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 or the addition rule for mutually exclusive events.

Front

Define independent events in probability.

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other. For example, flipping a coin and rolling a die are independent events.

Front

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

Back

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

Front

What is the sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment. For example, the sample space for flipping a coin is {Heads, Tails}.

Front

How do you express probability as a fraction?

Back

Probability is expressed as a fraction of the number of favorable outcomes to the total number of possible outcomes. For example, if there are 3 favorable outcomes out of 10 possible outcomes, the probability is expressed as 3/10.

Front

What is the probability of drawing two E's in a row from a bag containing A, B, E, E, E, N, N, S, T without replacement?

Back

The probability is 1/12.

Front

List the possible outcomes when flipping a coin and selecting a golf ball from a bucket with 2 yellow and 5 white balls.

Back

The possible outcomes are {HY1, HY2, HW1, HW2, HW3, HW4, HW5, TY1, TY2, TW1, TW2, TW3, TW4, TW5}.

Front

What is the probability of choosing an 'a' or 'e' and the number '2' from a bag containing vowels (a, e, i, o, u) and numbers (1, 2)?

Back

The probability is 1/10.

Front

How do you calculate the probability of getting a pizza with broccoli and olives from a selection of different toppings?

Back

The probability of getting a pizza with broccoli and olives is 1/15.

Front

What is the probability of spinning a 1 and tossing heads with a spinner labeled 1 to 5 and a fair coin?

Back

The probability is 1/10.