We are given that  P(A | B) = 0.4  and  P(A) = 0.3.  Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur. This implies that A and B are  ---Select--- not independent independent events. So, to determine  P(A and B),  we can apply the general multiplication rule for events. Recall that  P(B) = 0.9. P(A and B)  =  P(B) · P(A | B)

Given P(A) = 0.104, P(B) = 0.049, and P(C) = 0.058, and that events A, B, and C are mutually exclusive, what is the P(A or B or C)? Answer in decimal form.  Round to 3 decimal places as needed.

Suppose that if a person visits Disneyland, the prob-ability that he will go on the Jungle Cruise is 0.74, the probability that he will ride the Monorail is 0.70, the prob-ability that he will go on the Matterhorn ride is 0.62, the probability that he will go on the Jungle Cruise and ridethe Monorail is 0.52, the probability that he will go on theJungle Cruise as well as the Matterhorn ride is 0.46, theprobability that he will ride the Monorail and go on theMatterhorn ride is 0.44, and the probability that he will go on all three of these rides is 0.34. What is the proba-bility that a person visiting Disneyland will go on at least one of these three rides?

The probability of an event A is equal to the product of the probabilities of the outcomes contained in A. True or false?

Machines A and B turn out respectively 10% and 90% of the total production of a certain type of article. The probability that machine A turns out a defective item is 0.01 and the probability that machine B turns out a defective item is 0.05. What is the probability that an article taken at random from the production line is defective? What is the probability that an article taken at random from the production line was made by machine A, given that it is defective?

Use the following table to find the probability.   Male Female Write with left hand 55 38 Do not write with left hand 95 130   If one the subjects is randomly selected, find the probability that the person is a male or do not write with left hand. If one of the subjects is randomly selected, find the probability that the person is a male given that the person writes with left hand. If two subjects are randomly selected without replacement, find the probability that both female and do not write with left hand.

The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw attempts. Assume each free throw attempt is independent. Suppose you watch Stephen Curry shoot 16 free throws. (a) Calculate the probability that he makes exactly 11 of the 16 free throws. (b) Calculate the probability that he makes more than 14 of the 16 free throws.

Suppose that 1% of the population has a certain disease. The test to diagnose the disease is 99% accurate: if you have the disease, you will test positive 99% of the time; if you don’t have the disease, you will test negative 99% of the time. Assume  Steve is to tests positive, then what is the probability he actually has the disease?

Find the probability that David is not late for work, given he drives.

suppose that for a certain population the probility that a person likes to drink coffee is 0.62, the probability that a person likes to drink tea is 0.48 and the probability that a person likes to drink coffee and tea is 0.35. what is the probability that a person likes to drink coffee or tea?