Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is

Q: If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the…

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Q: If a fair die is rolled once, the probability that you get a four, given that the die comes up an…

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Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: If a die is tossed once what is the probability that a 2 appears on to

A: To find the probability that a 2 appears on top.

Q: Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known…

A: Two events are said to be mutually exclusive events if they cannot occur at the same time. For two…

Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

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Q: If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability…

A: Given that Captain shoots first  which means , Probability that Captain hits the pirate ship = 1/2…

Q: Suppose that it is equally likely for a couple to have a boy or a girl.   (a) Suppose a couple has…

A: Consider that, equally likely for a couple to have a boy or a girl. (a) Consider that  couple has…

Q: If X and Y are independent, then what is the probability of the event Y > 4X?

A: Iy is given that X follows U(0,1), then pdf of X is f(x) = 1, 0 < x < 1 And Y follows U(0,2)…

Q: At a certain college, there were 400 Engineering majors, 300 Science majors, and 100 Mathematics…

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Q: If you flip a fair coin and then flip a second fair coin, what is the probability that you get heads…

A: Two fairs coins are flipped once. Each of the coin flips can have either of the two outcomes - heads…

Q: In a class, 40% of the students offered Statistics, 30% offered Mathematics, and 20% offered both.…

A: Let us define the event. A: The student offered the Statistics. B: The student offered the…

Q: In a group of students, 45% play golf, 55% play tennis and 70% play at least one of these sports.…

A: Define some events A: A student plays golf B: A student plays tennis

Q: If three coins are tossed simultaneously, the probability of getting at least one head is

A: Given that three coins are tossed simultaneously. we have to find PROBABILITY of getting at least…

Q: The probability that a patient recovers from a rare deadly disease is 40% . If 15 people are known…

A: Given: Probability of survive is, p=40%=0.40. Total number of people is, n=15. The objective is,…

Q: If two events A and B are not disjoint, then the probability of their union

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Q: If two events are mutually exclusive, then they are independent Select one: True False

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Q: If two events are mutually exclusive and collectively exhaustive, what is the probability that one…

A: The probability that one of the events occurs is obtained below: Here, the event A and B are…

Q: If two events are mutually exclusive, the probability that both occur at the 1 pol same time is O 50…

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Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

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Q: If an event has a 1/50 chance of occurring, what is the probability that the event will occur three…

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Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

Q: A pair of dice is thrown. if it is known that one dice shows a 4, what is the probability that the…

A: The number of dice thrown are 2.

Q: If there are 20 women and 10 men in a class, and you randomly picked out one person, what is the…

A: given there 20 women and 10 men we want to find the probability picked a woman ?

Q: The probability of an event that is certain to not occur is

A: The objective is know the probability of an event that is certain to not occur.

Q: If the probability of one event has no influence on the probability of the other then the events are…

A: If the probability of one event has no influence on the probability of other then the event are said…

Q: In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student…

A: here define events student belongs to math club = M student belongs to council = C p(M) = 0.20  p(C)…

Q: Give two examples of events, one for which it is straightforward and a second for which it is…

A: Two examples of events Straightforward Difficult

Q: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing…

A: Obtain the probability that the first card is an ace and that the second card is an ace.   The…

Q: If you flip three fair coins, what is the probability that the first two flips will both be heads,…

A: Let S be the sample space of given experiment, and A be the event then, probability of A ,…

Q: A shopping mall has four entrances, one on the North, one on the South, and two on the East. If you…

A: Given: A shopping mall has four entrances, one on the North, one on the South, and two on the East.…

Q: If we roll two dice, what is the probability that one of the numbers on top is 3?

A: When two dice are rolled, there are 36 outcomes in the sample space, which is given by Sample space,…

Q: A pair of dice is thrown. If it is known that one die shows a 4, what is the probability that  the…

A: Given: Two dice are thrown. The outcomes for two dice are shown as:

Q: What is the probability that an employee is married and owns a car?

A: a certain company, the probability that an employee is married is 65%. The probability that an…

Q: If the joint probability of neither of two events, A and B, occurring is 0.08, the probability of…

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Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: At a particular high school, 18% of the students participate in student council and 47% of the…

A: At a particular high school, 18% of the students participate in student council 47% of the students…

Q: If two events are mutually exclusive, what is the probability that both occur at the same time? A. 0…

A: We have to find correct probability for mutually exclusive events.

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: If the probability of one event occurring is 1/4 and the probability of another event occurring is…

A: Given Data: P( event 1)=1/4 P( event 2)=1/10   Assuming the both events to be independent

Q: If two cards are drawn from a deck, what is the probability that at least one of the cards will be a…

A: 3 ways of drawing at least one face card Face card - Face card Non Face card - Face card Face card -…

Q: If an event has a probability equal to 0.2, what does this mean?

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Q: If the probability of an event E is 2/3​, then the probability that E will not occur is

A:

Q: A pair of dice is tossed. If the numbers appearing are different, find the probability that sum is…

A: Possible outcomes when we toss two coins are,

Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

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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: 1 then 3 If the probability of an event is probability of its complement is

A: We know that sum property of a event and its compliment is always Equal to 1