Three distinguishable dice are rolled.  What is the probability of getting a sum of the upturned faces is even? Are the events of getting an even sum of upturned faces and getting exactly two odd upturned faces independent? Justify. What is the probability that the sum of the upturned faces is even given that there are exactly two odd upturned faces?

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

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Q: Two dice are tossed. What is the probability that the total score is a prime number greater than 3?

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: Your friend selects one of two dice, a 6- sided or a 4-sided, with equal probability, and rolls it…

A: GivenThere are two dice 4 sided and 6 sided. The probability of selecting 4 sided dice P(4…

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: You have two unfair coins.  One coin has a probability of 0.55 of landing heads, and the other coin…

A: Given that  You have two unfair coins. One coin  Probability of landing head P(H1 ) = 0.55…

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: On any weekday during the semester, the probability that Beth does yoga is 0.75, the probability…

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

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: Two fair dice are rolled. What is the probability that the sum or product of the two numbers rolled…

A: Given: Two fair dices are rolled. Probability that the sum or product of the two number rolled is…

Q: A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.If…

A: Real-world examples:Repetition not allowed: Drawing marbles from a bag without replacement. Once a…

Q: What is the probability of flipping a coin once and getting heads if you have gotten 5 tails in a…

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Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: A pair of six-sided dice is rolled.There are a total of  possible outcomes, as each die has  faces.

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

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Q: Two cards are drawn in succession from a deck without replacement. What is the probability that both…

A: Here use hyper geometric distribution  because without replacement model No of card which are…

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

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Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

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Q: An urn contains Red and Blue balls. 6 balls are red (R) and 13 balls are blue (B). Draw two balls,…

A: Given An urn contains No. of Red balls=6 No. of Blue balls=13 Total no. of balls=6 red balls +13…

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: i have a 20p a 10p and a 2p coin, what is the probability of getting two tails and a head in any…

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Q: Billy randomly selects a card from a standard deck. The probability of him selecting a king or a…

A: We have given that the Billy randomly selects a card from a standard deck. The probability of him…

Q: A pair of dice is thrown, what is the probability of getting a result of prime number?

A: Given Sample space=36

Q: Two dice are rolled. The sum of the dice is a 2 or 3. Compute the probability of the compound event…

A: We have given that,  Tw dice are rolled the the sample space (s) is,  s = {(1,1), (1,2),…

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: A pair of dice is rolled. What is the probability of rolling a sum greater than 7 and less than 11?

A: Since there are two dice are rolled it means the total possible combination is 36 (sample space).…

Q: A bag contains 7 nickels, 2 dimes, and 8 quarters. If you draw 3 coins at random from the bag,…

A: Given that there are 7 nickels, 2 dimes, and 8 quarters. So total (7+2+8)=17 coins   We can pick any…

Q: Two students are selected at random from a class that consists of 13 males and 7 females. What is…

A: Given: Number of males = 13 Number of females = 7 Total students = 13+7 = 20

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

A: We find the outcomes for sum=7 of the numbers landing uppermost (1,6) , (2,5) , (3,4) , (4,3) ,…

Q: A committee of three is to be formed from a group of 12 members; in which there are 6 females and 6…

A: Given: A committee of three is to be formed from a group of 12 members; in which there are 6 females…

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: What does it mean for two or more events to be mutually exclusive?

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

Q: pair of dice is rolled. What is the probability that their sum is odd or less than 8?

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Q: A pair of dice is rolled. A possible event is rolling a multiple of 5.   What is the probability of…

A: Total number of outcomes when two dice are rolled= 6×6=36 Given that a pair of dice is rolled.…