Probability of Independent Events

Front

What is the probability of drawing a black marble from a bag containing 8 blue, 7 green, and 5 yellow marbles?

Back

0

Front

If you draw a yellow marble from a bag containing 8 blue, 7 green, and 5 yellow marbles, replace it, and draw again, what is the probability of both draws being yellow?

Back

1/16

Front

In the word MATHEMATICIANS, what is the probability of choosing the letter A twice when drawing with replacement?

Back

9/196

Front

What is the probability of drawing a quarter from a jar containing 8 pennies, 5 nickels, 1 dime, and 7 quarters, replacing it, and drawing another quarter?

Back

1/9

Front

What is the probability of selecting a vegetable and then a fruit from a basket, if Belle says it is 15/64?

Back

Correct, Belle is right.

Front

Define independent events in probability.

Back

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

Front

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

Back

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

Front

If the probability of event A is 1/4 and the probability of event B is 1/3, what is the probability of both events occurring?

Back

1/12 (1/4 * 1/3).

Front

What does it mean if two events are dependent?

Back

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

Front

How do you calculate the probability of drawing two marbles of the same color with replacement?

Back

P(same color) = P(color) * P(color) for the same color.