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.

Tags

CCSS.HSS.CP.B.7

Front

How do you calculate the probability of landing on an even number with an 8-section spinner?

Back

To find the probability of landing on an even number, divide the number of even sections by the total number of sections. For an 8-section spinner with 4 even numbers, P(even) = 4/8 = 1/2.

Tags

CCSS.7.SP.C.7A

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

The formula is P(A and B) = P(A) * P(B). This means you multiply the probability of event A by the probability of event B.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

If you have 3 red, 6 green, and 3 blue tiles, what is the probability of picking a green tile first and then a non-green tile?

Back

P(green, not green) = P(green) * P(not green after green) = (6/12) * (6/11) = 36/132 = 3/11.

Front

What is the probability of picking a white marble, replacing it, and then picking a marble that isn't white?

Back

If there are 7 white marbles and 93 non-white marbles in a bag of 100 marbles, P(white, not white) = P(white) * P(not white) = (7/100) * (93/100) = 651/10000.

Front

What does it mean to replace an item after picking it in probability?

Back

Replacing an item means that after you pick it, you put it back into the sample space, keeping the total number of items the same for the next pick.

Tags

CCSS.HSS.CP.A.1

Front

How do you find the probability of two events happening in sequence?

Back

To find the probability of two events happening in sequence, multiply the probability of the first event by the probability of the second event, considering whether the events are independent or dependent.

Front

What is the probability of picking a striped marble and then a white marble if you replace the first pick?

Back

If the probability of picking a striped marble is 1/20 and the probability of picking a white marble is 9/10, then P(striped, white) = (1/20) * (9/10) = 9/200.

Front

What is the difference between independent and dependent events in probability?

Back

Independent events are those where the outcome of one event does not affect the outcome of another. Dependent events are those where the outcome of one event does affect the outcome of another.

Tags

CCSS.HSS.CP.A.5

Front

How do you calculate the probability of picking a blue marble followed by a green marble with replacement?

Back

If there are 5 blue marbles and 9 total marbles, P(blue, green) = P(blue) * P(green) = (5/9) * (5/9) = 25/81.