Probability of Independent & Dependent Events

Front

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

Back

P(purple then black) = (5/10) * (1/9) = 1/18

Front

What is the probability of selecting a lollipop and then a gum ball from a bag containing 6 lollipops and 4 gum balls with replacement?

Back

P(lollipop then gum ball) = (6/10) * (4/10) = 6/25

Front

What are independent events in probability?

Back

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

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another.

Front

What is the probability of spinning a B and then an A from a spinner with two A’s, three B’s, and three C’s?

Back

P(B then A) = (3/8) * (2/8) = 3/32

Front

What is the probability of drawing two purple marbles from a box containing 5 purple, 3 green, and 2 orange marbles without replacement?

Back

P(both purple) = (5/10) * (4/9) = 2/9

Front

If a coin is flipped twice, what type of events are the two flips?

Back

The two flips are independent events.

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 total number of outcomes when flipping a coin twice?

Back

There are 4 outcomes: HH, HT, TH, TT.