Probability Concepts Practice

Carlos plays college soccer. He makes a goal 65% of the time that he shoots. But, Carlos also shoots in streaks. The probability that he makes the second goal GIVEN that he made the first is 90%. Carlos has two penalty kicks (free shots) back to back.

What is the probability that Carlos makes both goals?

• 0.4225

• .585

• .715

• .9

Carlos plays college soccer. He makes a goal 65% of the time that he shoots. But, Carlos also shoots in streaks. The probability that he makes the second goal GIVEN that he made the first is 90%. Carlos has two penalty kicks (free shots) back to back.

Are A(Carlos makes first shot) and B(Carlos makes second shot) intependent events?

• Yes

• No

• Impossible to tell

Carlos plays college soccer. He makes a goal 65% of the time that he shoots. But, Carlos also shoots in streaks. The probability that he makes the second goal GIVEN that he made the first is 90%. Carlos has two penalty kicks (free shots) back to back.

Are A(Carlos makes first shot) and B(Carlos makes second shot) mutually exclusive events?

• Yes

• No

• Impossible to tell

Helen plays basketball. The probability that she makes a free throw is 75%. She is going to shoot two free throws in a row.

What is the probability that Helen makes at least one shot?

• .5625

• .75

• .9375

• 1.5

Helen plays basketball. The probability that she makes a free throw is 75%. She is going to shoot two free throws in a row.

What is the probability that Helen makes both free throws?

• .5625

• .75

• .9375

• 1.5

Helen plays basketball. The probability that she makes a free throw is 75%. She is going to shoot two free throws in a row.

Are P(Helen makes the first free throw) and P(Helen makes the second free throw) mutually exclusive?

• No

• Yes

• Impossible to tell

Helen plays basketball. The probability that she makes a free throw is 75%. She is going to shoot two free throws in a row.

Are P(Helen makes the first free throw) and P(Helen makes the second free throw) independent?

• No

• Yes

• Impossible to tell

A swim team has 150 members. 75 Are advanced, 47 are intermediate, and the rest are novice swimmers. 40 of the advanced swimmers practice four times a week. 30 of the intermediate swimmers practice four times a week. Ten of the novice swimmers practice four times a week.

If we choose a member at random, what is the probability they: are a novice swimmer

• 12/150

• 80/150

• 28/150

• 40/150

A swim team has 150 members. 75 Are advanced, 47 are intermediate, and the rest are novice swimmers. 40 of the advanced swimmers practice four times a week. 30 of the intermediate swimmers practice four times a week. Ten of the novice swimmers practice four times a week.

If we choose a member at random, what is the probability they: practice four times a week.

• 12/150

• 80/150

• 28/150

• 40/150

A swim team has 150 members. 75 Are advanced, 47 are intermediate, and the rest are novice swimmers. 40 of the advanced swimmers practice four times a week. 30 of the intermediate swimmers practice four times a week. Ten of the novice swimmers practice four times a week.

If we choose a member at random, what is the probability they: are an advanced swimmer and practice four times a week.

• 12/150

• 80/150

• 28/150

• 40/150