Probability of Independent and Dependent Events

Front

What is the probability of drawing an even number from a set of cards numbered 1-10?

Back

There are 5 even numbers (2, 4, 6, 8, 10) out of 10 total cards, so the probability is 5/10 or 1/2.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of drawing a card numbered greater than or equal to 5 from a set of cards numbered 1-10?

Back

There are 6 cards (5, 6, 7, 8, 9, 10) that are greater than or equal to 5, so the probability is 6/10 or 3/5.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of drawing a pen and then a pencil from a box containing 10 pens and 15 pencils?

Back

The probability of drawing a pen first is 10/25 and then a pencil is 15/24. The combined probability is (10/25) * (15/24) = 1/4.

Front

What does it mean for two events to be independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What does it mean for two events to be dependent?

Back

Two events are dependent if the occurrence of one event affects the probability of the other event occurring.

Tags

CCSS.HSS.CP.A.5

Front

What is the probability of drawing two aces in a row from a standard deck of 52 cards without replacement?

Back

The probability of drawing the first ace is 4/52 and the second ace is 3/51. The combined probability is (4/52) * (3/51) = 1/221.

Front

What is the probability of rolling an odd number on a number cube (die)?

Back

There are 3 odd numbers (1, 3, 5) out of 6 total numbers, so the probability is 3/6 or 1/2.

Tags

CCSS.7.SP.C.7B

Front

If a spinner is spun twice, what is the probability of landing on red first and then blue?

Back

The events are independent; the probability of red and blue can be calculated separately and multiplied.

Front

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

Back

P(A and B) = P(A) * P(B) for independent events A and B.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

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

Back

P(A and B) = P(A) * P(B|A) for dependent events A and B.