Mid-chapter probability

Front

What is the formula to determine the number of possible outfits from different clothing items?

Back

Multiply the number of choices for each type of item. For example, if there are 5 shirts, 3 pairs of pants, and 5 pairs of socks, the total outfits = 5 * 3 * 5 = 75.

Front

What is the probability of two independent events occurring together?

Back

Multiply the probabilities of each event. For example, the probability of a coin showing tails (1/2) and a number cube showing 3 (1/6) is (1/2) * (1/6) = 1/12.

Front

How do you calculate combinations for choosing a team from a group?

Back

Use the combination formula: C(n, r) = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is the probability of drawing two marbles of different colors from a jar?

Back

Calculate the probability of each event and multiply them. For example, if the first marble is green (2/11) and the second is yellow (3/11), the probability is (2/11) * (3/11) = 6/121.

Front

What does 'independent events' mean in probability?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

What is the total number of combinations for choosing 3 players from 17?

Back

Using the combination formula: C(17, 3) = 17! / (3!(17-3)!) = 680.

Front

Define 'probability'.

Back

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

Front

What is the probability of an event that is certain to happen?

Back

The probability of a certain event is 1.

Front

What is the probability of an event that cannot happen?

Back

The probability of an impossible event is 0.

Front

How do you find the probability of drawing a specific color marble from a jar?

Back

Divide the number of marbles of that color by the total number of marbles in the jar.