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 or the addition rule for mutually exclusive events.

Front

How do you calculate P(not A)?

Back

P(not A) = 1 - P(A). It represents the probability that event A does not occur.

Front

If a chorus has 50 girls and 35 boys, what is the probability of randomly selecting two boys?

Back

The probability of selecting two boys is calculated as: P(Boy 1) = 35/85 and P(Boy 2 | Boy 1) = 34/84. Therefore, P(both boys) = (35/85) * (34/84) = 1/6.

Front

What is the probability of choosing two pears from a basket containing 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit?

Back

The probability is calculated as: P(Pear 1) = 5/25 and P(Pear 2 | Pear 1) = 4/24. Therefore, P(both pears) = (5/25) * (4/24) = 1/30.

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 rolling a specific number on a number cube?

Back

The probability of rolling a specific number (like a 6) on a number cube is 1/6, since there are 6 faces.

Front

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

Back

P(6 on first roll) = 1/6 and P(<5 on second roll) = 4/6. Therefore, P(6 then <5) = (1/6) * (4/6) = 4/36 = 1/9.

Front

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

Back

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

Front

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

Back

For independent events A and B, P(A and B) = P(A) * P(B).

Front

What is the probability of pulling a green marble from a bag containing 8 green marbles out of 25 total marbles?

Back

The probability is calculated as: P(green) = 8/25.