Conditional Probability Word Problems

In an experiment, the probability that event A occurs is 2/5, the probability that event B occurs is 1/3, and the probability that events A and B both occur is 1/7.

What is the probability that A occurs given that B occurs?

(a)  

In an experiment, the probability that event A occurs is 1/6, the probability that event B occurs is 2/9, and the probability that events A and B both occur is 1/8.

What is the probability that A occurs given that B occurs?

(a)  

What is P(BlA)=

(a)  

What is P(A and B)?

(a)  

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S|C).

• No, because P(S) is not the same as P(S|C).

• Yes, because P(S) is the same as P(C|S).

• No, because P(S) is not the same P(C|S).

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?

• 0.21

• 0.09

• 0.28

• 0.25

the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome

• mean

• median

• conditional probability

• probability

Mathematical Equivalence

ON

• 1
• 2
• 3
• 4

What fraction represents the conditional probability of P(C | F)? Do not convert your answer to a decimal. Just write the fraction.

Mathematical Equivalence

ON

Answer explanation

What fraction represents the conditional probability of P(C | F)?

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8 = # of Croc wearing female students

13 = # of female students

P(C | F) = 8/13