6. Let A, B, C be three events with P(A) = P(B) = P(C) = 1, P(AC) = 1, P(AB) = P(BC) = 0,determine the probability of the event that at least one of A, B, C occurs.

Probability is the ratio of number of favorable outcomes to the total number of possible outcomes.…

Answered: 6. Let A, B, C be three events with…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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If P(A)=0.7, P(B) = 0.75, P(C)= 0.8, P(AUB)=Q.8, P(AUC)=0.85, P(BUC)=0.9 and P(AUBUC)=0.95. find the probability of none of the three events occur اختر احدى الاجابات O 0.05 O 0.5 O None O 0.75 O 0.7
in their closet a pack rat has 7 pairs of boots plus 4 other boots which are unpaired as their match had been thrown in the trash. if they reach into their closet and grab a boot at random what is the probability that the matching boot is in their closet?
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
Suppose there are 6 red balls and 4 white balls in a urn.(1) event A={First draw is a white ball}, what is P(A), probability of A?(2) Now assume we do picking balls one by one without replacement. event B={Second draw is a white ball}, what is P(B), probability of B? (3) Are A and B independent? Justify your answer. please explain and do all the steps fully!
One student is selected at random from a group of 200 known to consist of 140 full-time (80 female and 60 male) student and 60 part-time (40 female and 20 male) students. Event A is "the student selected is full-time" and event C is "the student selected is female". (a) Are events A and C independent? (b) Find the probability of one student selected is full-time, that should be female.
Kim and Susan are playing a tennis match where the winner must win 2 sets in order to win the match. For each set the probability that Kim wins is 0.59. The probability of Kim winning the set is not affected by who has won any previous sets. (a) What is the probability that Kim wins the match? (b) What is the probability that Kim wins the match in exactly 2 sets (i.e. only 2 sets are played and Kim is the one who ends up winning)? (c) What is the probability that 3 sets are played?
An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?
7. In a Christmas display, the probability that all lights are the same color is 0.45; that 2 colors are used is 0.40; and that 3 or more colors are used is 0.15. If a sample of 10 displays is selected, find the probability that 5 have only 1 color of light, 3 have 2 colors, and 2 have 3 or more colors.
Suppose that, on average, the number of car accidents in US are 6 per day (which has 24 hours). i. Determine the probability that at least 4 accidents will occur in 12 hour period. ii. In a two days, if there were 8 car accidents in US, what is the probability that 2 accidents have occurred in the first 12 hours of the two days?
Q15) When a die is rolled twice, what is the probability that the 1st first throw will be a 3 and the 2nd will be a 6? -
If two events are mutually exclusive why is P(A and B)=0?

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6. Let A, B, C be three events with P(A) = determine the probability of the event that at least one of A, B, C occurs. P(B) = P(C) = 1, P(AC) = 1, P(AB) = P(BC) = 0,