Conditional Probability

Front

What is Conditional Probability?

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A | B), which means the probability of event A occurring given that event B has occurred.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How do you calculate Conditional Probability?

Back

Conditional Probability is calculated using the formula: P(A | B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring and P(B) is the probability of event B.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the sample space when rolling a six-sided die?

Back

The sample space when rolling a six-sided die is {1, 2, 3, 4, 5, 6}.

Front

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

Back

The probability of rolling a number less than 3 (which are 1 and 2) is P(less than 3) = 2/6 = 1/3.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of rolling an odd number on a six-sided die?

Back

The odd numbers on a six-sided die are {1, 3, 5}. Therefore, the probability of rolling an odd number is P(odd) = 3/6 = 1/2.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of rolling a number less than 3 given that the number rolled is odd?

Back

The odd numbers less than 3 are {1}. Therefore, P(less than 3 | odd) = 1/3.

Tags

CCSS.HSS.CP.B.6

Front

What is the probability of getting heads when flipping a coin?

Back

The probability of getting heads when flipping a coin is P(heads) = 1/2.

Tags

CCSS.7.SP.C.7A

Front

What is the probability of getting heads three times in a row when flipping a coin?

Back

The probability of getting heads three times in a row is P(heads three times) = (1/2) * (1/2) * (1/2) = 1/8.

Front

What is the probability of rolling an even number on a six-sided die?

Back

The even numbers on a six-sided die are {2, 4, 6}. Therefore, the probability of rolling an even number is P(even) = 3/6 = 1/2.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of drawing a heart from a standard deck of 52 cards?

Back

There are 13 hearts in a deck of 52 cards. Therefore, the probability of drawing a heart is P(heart) = 13/52 = 1/4.

Tags

CCSS.7.SP.C.7B