Probability of Compound Events

Front

What is the probability of a compound event?

Back

The probability of a compound event is the likelihood of two or more events happening at the same time, calculated by multiplying the probabilities of the individual events if they are independent.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is an independent event in probability?

Back

An independent event is an event whose outcome does not affect the outcome of another event. For example, flipping a coin and rolling a die are independent events.

Tags

CCSS.HSS.CP.A.5

Front

What is the formula for calculating the probability of two independent events occurring together?

Back

P(A and B) = P(A) * P(B), where P(A) is the probability of event A and P(B) is the probability of event B.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the probability of rolling a number greater than 2 on a standard die?

Back

The probability is 4/6 or 2/3, since the numbers greater than 2 are 3, 4, 5, and 6.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of spinning a yellow color on a spinner with 4 equal sections: red, blue, yellow, and green?

Back

The probability is 1/4, as there is 1 yellow section out of 4 total sections.

Tags

CCSS.7.SP.C.7A

Front

What is the combined probability of rolling an even number (2, 4, 6) and spinning green on a spinner with 4 equal sections?

Back

The combined probability is 3/24 or 1/8, since there are 3 even numbers and 1 green section.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of drawing a yellow color and a number 6 from a set of colored numbers where yellow is not present?

Back

The probability is 0, as there is no yellow color in the set.

Tags

CCSS.7.SP.C.5

Front

What is the probability of drawing a red color and a number 3 from a set of colored numbers?

Back

The probability is 1/10, assuming there are 10 total outcomes and 1 favorable outcome.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of flipping a coin and getting tails?

Back

The probability is 1/2, as there are two possible outcomes: heads or tails.

Tags

CCSS.7.SP.C.7A

Front

What is the probability of getting a vowel from the letters A, B, C, D, E?

Back

The probability is 2/5, as there are 2 vowels (A, E) out of 5 total letters.

Tags

CCSS.7.SP.C.7B