An event has occurred through one of the various mutually exclusive events or reasons,then the conditional probability that it has occurred due to particular event or reason is called

• Inverse probability

• posteriori Probability

• conditional probability

• None of these

Important application of conditional probability is

What is the probability that a student does play a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

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

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

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

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

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

• 1
• 2
• 3
• 4

Are the events "Sports" and "Community Service" independent?

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

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

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

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

Mathematical Equivalence

ON

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

P(C | J)

Mathematical Equivalence

ON