Geometry A: Unit 5 Big Ideas Probability-Independent, Dependent

Front

What is the definition of independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other.

Front

What is the definition of dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other.

Front

How do you calculate the probability of two independent events occurring?

Back

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

Front

How do you calculate the probability of two dependent events occurring?

Back

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

Front

What is the probability of selecting an apple from a basket containing 4 apples and 6 peaches?

Back

P(apple) = 4/(4+6) = 4/10.

Front

What is the probability of selecting two apples in a row without replacement from a basket of 4 apples and 6 peaches?

Back

P(both apples) = (4/10) * (3/9) = 4/30.

Front

What is the probability of selecting a purple chip followed by a black chip with replacement from a jar containing 4 white, 5 purple, and 1 black chip?

Back

P(purple then black) = (5/10) * (1/10) = 5/100.

Front

What is the probability of selecting a black chip followed by a white chip without replacement from a jar containing 4 white, 5 purple, and 1 black chip?

Back

P(black then white) = (1/10) * (4/9) = 4/90.

Front

What is the probability of selecting both chips as white with replacement from a jar containing 4 white, 5 purple, and 1 black chip?

Back

P(both white) = (4/10) * (4/10) = 16/100.

Front

What is the total number of fruits in a basket containing 4 apples and 6 peaches?

Back

Total fruits = 4 + 6 = 10.