Probability & Counting Principles

Front

What is the theoretical probability of an event?

Back

The theoretical probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

How do you calculate the probability of drawing a specific color marble from a bag?

Back

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

Front

What is the probability of drawing two marbles of the same color without replacement?

Back

Calculate the probability of drawing the first marble of that color, then multiply it by the probability of drawing a second marble of the same color from the remaining marbles.

Front

What is the probability of choosing a letter other than 'A' from the word 'ALGEBRA'?

Back

Count the number of letters that are not 'A' and divide by the total number of letters.

Front

What is the probability of rolling a number greater than 1 on a single die?

Back

The probability is 5/6, since there are 5 favorable outcomes (2, 3, 4, 5, 6) out of 6 possible outcomes.

Front

How do you find the probability of independent events occurring?

Back

Multiply the probabilities of each independent event.

Front

What is the probability of rolling a 4 on a die?

Back

The probability is 1/6, since there is 1 favorable outcome (rolling a 4) out of 6 possible outcomes.

Front

What is the probability of rolling a number less than 3 on a die?

Back

The probability is 1/3, since there are 2 favorable outcomes (1, 2) out of 6 possible outcomes.

Front

How do you calculate the probability of multiple events happening in sequence?

Back

For independent events, multiply the probabilities of each event. For dependent events, adjust the probabilities based on previous outcomes.

Front

What is the total number of outcomes when rolling two dice?

Back

The total number of outcomes is 36, since each die has 6 faces (6 x 6 = 36).