The intersection of two events occurs when

Q: a student flips a coin four times.what is the probability the coin lands tails up exactly one time

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Q: Two events are independent of each other. If the probability of the first is 0.6, and the…

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Q: Two events that have no outcomes in common and they cannot happen at the same time are called...

A: Probability could be defined as a number that always falls between 0 and 1, where 0 implies the…

Q: How does the probability of an event can be determined?

A: The term probability is used widely (usually in statistics theory) as it gives the estimate of the…

Q: Give an example of two events that are independent and dependent. Thank you.

A: For events to be considered dependent, one must have an influence over how probable another is. In…

Q: Two fair dice are thrown.What is the probability that the score on the first die is 6 or the score…

A: # Given two  fair dice are thrown   then        Sample space (S) = {(1,1), (1,2), (1,3), (1,4),…

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Let S be the sample space of two dice throw together  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: In probability, it is very important to identify whether two events are mutually exclusive or not…

A: Given data: In probability, it is very important to identify whether two events are mutually…

Q: Define mutually exclusive events in your own words.

A: Given: mutually exclusive events are things that can't happen at the same time.

Q: Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select…

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Q: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of 8?

A: Solution-: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of…

Q: Describe about the Independent Events of probability.

A: In probability, independent events are the ones in which the occurrence of one event does not…

Q: You roll a single dice two times. What is the probability of rolling zero even numbers?

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Q: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: Two fair dice are thrown. What is the probability that the outcome is a 6 and an odd number?

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Q: A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the dice…

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Q: Two events are considered if the occurrence of one is related to the probability of the occurrence…

A: Solution Two events are considered dependent if the occurrence of one is related to the probability…

Q: A game has a probability of winning of 0.6. Alexa plays until she loses. What is the chance she'll…

A: We have to use Geometric distribution. Geometric Distribution : Geometric random variable X defines…

Q: You roll two dice at a time and not emultiple of those roll. What is probability that the outcome is…

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Q: If two dice are rolled, find the probability that neither die shows a 3 on it.

A: It is an important part of statistics. It is widely used.

Q: If you roll a die twice, what is the probability that you get two sixes in a row?

A: Obtain the probability that you get two sixes in a row. The probability that you get two sixes in a…

Q: event has a 50% chance of occurring

A: Take a coin, flip it twice. If you get the same result both times, ignore the pair of flips and try…

Q: Determine if the events involves mutually exclusive or non mutually exclusive events. Then find its…

A: Here total 52 cards in deck Total 26 red cards  Total ace = 4

Q: 90. Give an example of two events that are mutually exclusive.

A: Mutually Exclusive Event:  In probability theory, two events are mutually exclusive or disjoint, if…

Q: What are the two rules of finding probability of complex events?

A: The two rules for finding the probability of complex events are 1. Addition rule of probability and…

Q: An assembly line has two inspectors. The probability that the first inspector will miss a defective…

A: If the defective item passes both inspectors then that means that it was missed by the first…

Q: You roll two dice. What is the probability that one of the numbers is even and the other is odd?

A: There are 6 numbers on a dice, 3 even number and 3 odd numbers on a dice. The probability of getting…

Q: Are the events A intersect B and the B intersect the same? Why

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Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: Differentiate Simple event from Compound Event.

A: Here we need to differentiate simple event from compound event.

Q: True or False Flipping a coin and rolling a die are independent events.

A: In Probability, the set of outcomes of an experiment is called events. There are different types of…

Q: Define an event. What is a simple event?

A: Event is the set of all outcomes which come through a particular experiment. Example: If we are…

Q: Find the probability that one of the dice shows 6 dots given that the sum of the dots is 8?

A: Introduction: The set of all possible outcomes of a probability experiment is called sample space of…

Q: What’s the difference between an outcome and an event

A: If you like the solution then please give it a thumbs up.. The Answer is: Major Difference: An…

Q: Describe about the Mutually Exclusive Events?

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Q: what is the probability of an event that must happen?

A: The event that must happen is called as sure event or certain event.

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

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: Find the probability that when a couple has four children, at least one of them is a boy. ​(Assume…

A: From the given information n = 4. In this case, the probability of couple getting a boy or girl is…

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

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Q: The area where events A and B overlap is O A and B O A and B' O A' and B' O A or B

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Q: Find the probability that when a couple has two children, at least one of them is a boyboy. ​(Assume…

A: Consider,B be the event shows that couple has baby boy.G be the event that shows the couple has baby…

Q: Find probability of rolling both odd number when roll two dice.

A: We hvae to find given probability..

Q: what is a compound event

A: If an event has more than 1 possible outcome. Then the event is called a compound event. Each…

Q: You flip a coin twice. What is the probability that the first flip lands heads-up and the second…

A: Let us denote: H=head, T=tail If we flip a coin twice, then the possible outcomes are HH, HT, TH,…

Q: Describe the addition law for events that are mutually exclusive and events that are not

A: Two events are said to be Mutually exclusive events if they cannot occur at the same time or their…

Q: Find the probability of green occurring on two consecutive plays on a roulette wheel.

A: A roulette wheel contains a total of 38 pockets, out of which 18 pockets are red, 18 pockets are red…

Q: the experiment of rolling two unloaded dice. What is the probability that the sum of the two dice is…

A: We have given that  Two dice rolling the sample space  S = 62 = 36

Q: Two fair dice are rolled twice. What is the probability of obtaining a sum of 2 on the first roll…

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