The athletic department of a school has 12 full-time coaches, and 4 of them are

Question

The athletic department of a school has 12 full-time coaches, and 4 of them are female. The director selects two this group. The probability (to three decimal coach at random from places) neither of them is a female is: The probability of the intersection of two events A and B is given by: P(A) + P(B) P(A) + P(B) - P(A and B) P(A)P(A|B) P(A)P(B|A) The joint probability of two independent events A and B is: P(A) + P(B) P(A) + P(B) + P(A or B) P(A)P(B) P(A)P(A|B) A conditional probability is a probability of a sample space based on a certain condition has already occurred that an event will occur given that another event considered that an event will occur based on the condition that no other event is being occurred that an event will occur based on the condition that no other event has already occurred A marginal probability is a probability of a sample space already occurred an outcome when another outcome has already occurred an event without considering any other event an experiment calculated at the margin Two mutually exclusive events always occur together can sometimes occur together cannot occur together can occur together, provided one has already occurred Two events are independent if the occurrence of one event affects the probability of the occurrence of the other event does not affect the probability of the occurrence of the other event means that the second event cannot occur means that the second event is certain to occur

Explanation / Answer

Solution :-

Ans(16):-

The probability of intersection two event A and B is ,=P(A).P(B/A)

When we have two event A and B where the occurrence of A affects the occurrence of B, in such a case the probability of intersection of the two events is given ,P(A).P(B/A)

Ans(17):-

The joint probability of two independent events A and B is= P(A)P(B)

A and B are independent

Ans(18):-

The Conditional probability is a Probabilty of that an event will occur given that another event has already occur.

Ans(19):-

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