Two dice are rolled in succession and it is known that the sum is five, six, or seven. Find the probability that the first die shows a three.

Q: A survey was conducted to 60 students about the type of copies they want to send to them. 53…

A: From the given data:

Q: A die is thrown twice. What is the probability that the sum of the number of dots shown is 3 or 11?

A:

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: When two dice are thrown, find the probability of getting sum of 10 or 11.

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Q: Roll a die 3 times. Find the probability of getting at least one 6.

A:

Q: Two standard dice are rolled. Find the probability that the numbers rolled equal 6.

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Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: A pair of dice is tossed. Find the probability that the sum on the 2 dice is 4, given that doubles…

A:

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 4…

A: Possible outcomes when a pair of dice are thrown

Q: A card is dealt from a well-shuffled deck of 52 cards. Count ace as high. Find the probability the…

A: At most an eight means, 8 or less.  Given ace is high.  So 8 or less means 2,3,4,5,6,7,8 in each…

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: A single die is rolled eight times. find the probability that 6 appears once or twice.

A: Let X represent the number of times 6 appears n=8 p=1/6   X~ Binomial (8, 1/6)

Q: Five cards are dealt from a full deck. Find the probability that all are hearts and round your…

A:

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, find…

A:

Q: Denise rolls a number cube that has sides labeled 1 to 6 and then flips a coin. What is the…

A: Ther are 3 odd numbers in 1 to 6 . {1,3,5 } So the probability of getting an odd number = 3/6= 1/2

Q: A bag contains 2 red marbles, 5 green marbles, and 7 blue marbles.  You randomly draw a handful of 4…

A:

Q: Three red and four blue balls are put in a box. If two balls are chosen at random, find the…

A: We have given that  Number of red balls=R =3  Number of blue balls=B=4 Total number of cases =7…

Q: A coin is tossed 10 times. Find the probability of tossing five or six heads.

A: Given that a coin is tossed 10 times. Note that probability for getting one head in one toss p is…

Q: Two cards are drawn from a deck of 52 cards. Calculate the probability that the draw will include an…

A: Given,no.of ace cards=4no.of ten number cards =4total no.of cards =52

Q: Two dice are rolled. Find the probability that first die lands on an even number and the second die…

A: The sample space of all the 36 possible outcomes for the two dice is shown below:

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

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: Find the probability that the 12 cards being dealt contain equal number of suits.

A: The probability is the chance of occurrence of observations can involve in the sample by given equal…

Q: Two cards are selected from a standard deck with replacement. Find the probability that they are…

A: Given that Total cards=52 Number of hearts cards=13 p=Number of hearts cards/Total cards…

Q: The probability that a person living in Manila owns an air-conditioner is 0.04. find the probability…

A: The probability distribution for the nth success on the xth trail is,Where  n is the number of…

Q: LeBron James makes 73% of his freethrow attempts. Calculate the probability that LeBron makes…

A: p(freethrow attempts)=0.73 Number of free throws (n)=8 Let "X" be the  free throw attempts.…

Q: A pair of dice are tossed twice.Find the probability that the first roll is a total of at least 11…

A: The objective of this question is to find the probability of two independent events happening. The…

Q: A jar contains 7 poker chips: 4 blue, 2 red and 1 white. You randomly select two chips from the jar.…

A: GivenA jar containsNo.of blue chips=4No.of red chips=2No.of white chips=1Total no.of chips=7

Q: In a class of 20 students, there are 12 girls and 8 boys. Three students are selected to be…

A: The probability that the first student selected to be teacher's assistant will be a girl is 12/20.