If E and F are events with P ( E U F ) = 5/8, P (E ∩ F = 1/3, and P (E) = ½,
Find:
(a) P(E) (E has a straight line over it)
(b) P (F)
(c) P (F) (F has a straight line over it)

detail each answer:
(a) ½ (b) 11/24 (c) 13/24

Solution Preview

The line over the letter means "NOT" and I use the ! symbol as in:

!E = NOT E

(a)
P(E)=1/2 means that the probability of event E is 1/2.
So what is the probability of "not E?"
The probability of "(E) OR (NOT E)" is 1
(the ...

Probability of these events using basic probability principles. ... This solution uses basic probability principles to find probabilities that Penn State sports ...

... The sum of the probabilities of these three simple ... communications contract is awarded in simple events 1 and 3. The probability that either simple event 1 or 3 ...

...probability that event B occurs given that event A has ... is, the probability of the joint events A and B ... to the product of the individual probabilities for the ...

... 5. Two events are independent if a. event prevents the occurrence of the other event. b. The sum of their probabilities is greater than 1. c. We can ...

... a detailed explanation of the determination of probabilities in various ... hence P ( A ∩ B ) = 0 . If the events A and ... B) . P ( A) That is the probability of A ...

... in the first deck and Event B occurring in the second deck. Please find the solutions/explanations attached herewith. The probability of events using a ...

... Identification Computation method Marginal Probability of Number ...Event A and Multiply marginal probabilities of two of two events) event B (with ...

... Here the events are mutually exclusive ... Let Y be the event that the respondent answered no ... Y) = 0.18 P (Y) = 0.6 Required probability = 0.3 Binomial Probabilities. ...

...Probability 1. Consider the experiment of choosing a whole number at random from between 1 and 10 ... 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} b. What is the event that the ...