A couple has two children, and the older child is a boy. If the probabilities of having a boy or a girl are both equal, what is the probability that the couple has two boys?

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A: It is given that P(A) = 0.25, P(B) = 0.333

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Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: My father is an avid reader. On any given day he is reading multiple items. Suppose on any given…

A: a) For any two events A and B, it is known that P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: A family has two children. Now, I tell you one of the children is a girl. What is the probability…

A: here probability of girl = 12   probability of boy = 12 here each birth independent from each other…

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A: Introduction: Bayes’ theorem: Consider events A1, A2, …, Ak, and B (non-null). Now, the probability…

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Q: four sections of economics are taught during the day and two sections are taught at night. 90…

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A: In each deck of 52 cards, there are 4 aces. So the probability of picking a ace is= 4/52 =1/13

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Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

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Q: How is the probability of a combination (HH, HT, or TT) related to probabilities of its components…

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Q: Q: If 5% of the people are carriers of a certain disease and 10% of them are young, what is the…

A: Given: % of people that are carriers = 5% % of people that are young = 10%

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Q: If a new car has, on average, 25 minor defects, what is the probability that the next new car will…

A: ANS GIVEN                 average(λ) =25 minor                      find p(x=25)  = ?

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Q: if a couple has one baby, what is the probability that the child will be a boy?   if they have two…

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Q: A family has three children. Assuming a boy is as likely as a girl to have been born, what are the…

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Q: If a die is rolled one time, what is the probabilities of each outcome: a. getting a number greater…

A: GivenA die is rolled one timethen the outcomes are{1,2,3,4,5,6}Total no.of outcomes = 6

Q: Two fair dice, one colored white and one colored red, are thrown. Find the probability that: a) The…

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Q: sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Given Use the binomial distribution formula p=1/5 q=4/5 P[X]=nCx * p^x * q^(n-x)

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Q: A small online shop has only three drivers (Sandra, Peter, and Josh) to deliver orders in a certain…

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Q: If the probability of an event happening is 3, what is the probability that the event will not…

A: Given P(event)=2/3 So P(event)+ p(not event) =1

Q: 16. Two rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a…

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Q: ) A football match played between Alanyaspor and Başakşehir teams ended 3-3. What is the probability…

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Q: You are given four events A, B, C, D that are independent, and whose probabilities are Pr(A) = 0.6,…

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Q: Suppose A and B are two events with probabilities:  P(A^c)=.30, P(B/A)=.40 What is (AnB)?

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Q: A certain airline books 250 passengers for a certain flight that can seat only 212. If past studies…

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Q: If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the…

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Q: What is the probability that the next card dealt will be a face card if the 12 cards dealt so far…

A: In this problem, the probability that the next card dealt will be a face card after drawing 12 cards…