Conditional Probability

How could we write “the probability that you’re late to school, given that it’s raining” in proper notation?

• P(rain ∩ late)

• P(rain|late)

• P(late|rain)

• P(rain or late)

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Are the following events independent?

P(A)=0.35

P(B)=0.4

P(A|B)=0.4

• Yes, because P(A|B)=P(B)

• Yes, because (PA|B)≠P(B)

• No, because (PA|B)≠P(B)

• Not Enough Information

Tags

CCSS.HSS.CP.A.3

You choose one card from a standard deck. If event A is drawing a red card and event B is drawing a diamond, which event is certain (has a probability of 1)?

• P(A|B)

• P(B|A)

• P(A∩B)

• P(A)

Tags

CCSS.7.SP.C.5

How would we write “the probability of taking Chemistry if you are a 10^th grader” in proper notation?

• P(10^th grade | Chemistry)

• P(10^th grade, Chemistry)

• P(Chemistry ∩ 10^th grade)

• P(Chemistry | 10^th grade)

Tags

CCSS.HSS.CP.A.1

You roll 2 dice and add the results together. Given that at least one of the dice is a 5, find the probability that your sum is greater than or equal to 9.

• 5/11

• 2/11

• 5/12

• 1

Tags

CCSS.HSS.CP.B.6

You draw one card from a standard deck. Given that it’s a numbered card

(2-10), find the probability that it’s a 3.

• 1/13

• 1/2

• 1/9

• 1/10

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

You roll a die and flip a coin. Given that the coin is heads, find the probability that the die shows an even number.

• 1/2

• 1/3

• 1/4

• 1/6

Tags

CCSS.HSS.CP.B.6

In a bag, you have 4 red, 3 white, and 2 yellow marbles. You choose 2 marbles. Given that the first one is white, find the probability that the second one is yellow.

• 2/9

• 1/4

• 1/8

• 1/2

Tags

CCSS.HSS.CP.B.6

You and your friend each draw a card from a deck. You go first and draw an 8. Find the probability that your friend draws a face card (J, Q, or K).

• 3/13

• 1/4

• 4/17

• 1/2

Tags

CCSS.HSS.CP.B.6