Describe the difference between the probability of two mutually exclusive events, two complementary events, and two independent events. Give examples of each

Q: Two pair dice are rolled. What is the probability that both dice will land on a one.

A: Given that  Two fair dice are rolled. Total number of events (n) = 62 = 36   We know that…

Q: What does it mean for three events to be mutually exclusive?

A: Mutually exclusive events Three events are said to be mutually exclusive if they have no element in…

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

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Q: A couple has three children. What is the probability of the eldest one being a girl.

A: The probability formula is, Probability=Number of possible outcomesTotal outcomes Let G is defined…

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: An experiment consists of three fair, different coloured dice being rolled (the dice are 6-sided and…

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Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

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: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: Explain how to find and probabilities with independent events. Give an example.

A: Independent Events: For any two events A and B such that the probability of the occurrence of any…

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: Explain how to find or probabilities with mutually exclusive events. Give an example.

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Q: When are two events said to be Independent? give a real-life example to explain the answer.

A: Independent events: Let A and B be two events. The events A and B are said to be independent if…

Q: Give an example of a not mutually exclusive events probability. The topic should be related to…

A: Generally, a mountain consists of trees, animals ,waterfalls,etc. According to probability,two…

Q: Answer true or false to each statement and explain your answers. a. For any two events, the…

A: a. The given statement is that for any two events, the probability that one or the other of the…

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: When are two events said to be mutually exclusive? give a real-life example to explain the answer.

A: Mutually exclusive events:   Events are said to be ‘mutually exclusive’ when two or more of them…

Q: Roll a pair of fair dice one time. What is the probability that the sum of the two numbers i

A: If we roll a pair of fair dice one time, we get the possible outcomes as S=…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

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Q: Two pair of dice are rolled. What is the probability that the sum of their faces will be equal to…

A: Given: Two pair of dice are rolled. To find : The probability that the sum of their faces will be…

Q: If you roll two dice, what is the probability of an even sum or a sum of 8 or more?

A: The outcomes for each of the die is {1, 2, 3, 4, 5, 6}.

Q: In probability, when two events do not influence each other, they are called ?

A: In probability, when two events do not influence each other, they are called ?

Q: State why. The probabilities choose one be negative. The sum of the probabilities of the events…

A: Probability of an event is a number between 0 and 1

Q: Give  some events or real life example of permutation, combination, probability of evants and…

A: The real life examples for the required scenarios are as follows:

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: Different types of events. Explain.

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