Assume that a cyan dice and a pink dice are tossed at the same time seven times and their sum of the spots on their side facing upwards are recorded. What is the probability that the seventh sum recorded has never happened on the previous tosses.

Q: If two dice are thrown together, the probability of getting an even number on one die and an odd…

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Q: If three coins are flipped, find the probability that exactly two heads turn up.

A: Solution: Consider S to be the sample space for the experiment and E to be the number of events…

Q: What is the probability that the number on the first die is smaller than the number on the second…

A: The sample space of two dice are thrown is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2)…

Q: Suppose, you have removed all but the numbered cards from a deck of playing cards. Now, you have to…

A: Given, The total numbered cards = 36

Q: If two dice are thrown, what is he probability that the number on the first die is less than the…

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Q: Suppose you roll two fair dice, one that is red and other is blue. Each die can have numbers from 1…

A: The total number of possible outcomes for rolling two fair dice is 36. The possible outcomes for…

Q: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

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Q: when a die is rolled, what is the probability that a four will appear on the top face?

A: We have given that when a die is rolled, the sample space isS = {1, 2, 3, 4, 5, 6 }

Q: Suppose a jar contains 13 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

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Q: A dice is rolled twice. What is the probability that the sum of the numbers obtained on the two…

A: GivenA dice is rolled twice

Q: One card is drawn at random from a well shuffled deck of 52 cards. If each outcome is likely,…

A: The provided information is as follows:The well-shuffled deck of cards are .One card is drawn…

Q: A pair of fair dice are rolled one time. What is the probability that the sum of the two dice is…

A: Here we have to probability that sum of two dice is equal to 4 or sum is odd number when a pair of…

Q: Find the probability of getting a sum of 6 on two dice if the first die is already shows a 3.

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations…

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: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

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 one card is drawn at random from a standard 52 card deck, find the probability that the card is…

A: It is given that the one card is drawn at random from the pack of 52 cards.

Q: If three marbles are drawn in succession from 5 blue and 6 green marbles inside a jar, find the…

A: Let five blue balls are represented as B  B  B  B  B similarly six green marbles are represented as…

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: If the dice are rolled once , what is the probability of a number that is odd or divisible by 3 ?

A: Assuming the dice is fair, the number of outcomes will be 1, 2, 3, 4, 5, 6. Each outcome has an…

Q: If two fair dice are rolled, find the probability that the result is either sum of 8 or sum is…

A: If two dice are rolled then the sample space obtained is as follows: Ω={1,1,1,2,1,3,1,4,1,5,1,6,…

Q: ach individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper…

A: Given letter is  : TENNESSEE Which contain nine letters we have formula for Probability=Possible…

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: What is the probability that a single die shows a 1 or a 6 in a single roll? Show your complete…

A: The possible outcomes when rolling a die is {1,2,3,4,5,6}.

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

Q: When a single die is tossed, what is the probability of getting a number that is a multiple of 2?

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Q: Two distinguishable (for example, one blue one green) six-sided dice are rolled. Find the…

A: The points where it is possible are (1,3),(3,1),(2,2). The total number of possiblities are 36.

Q: If two balanced dice are rolled whats the probability that the sum of the two numbers will appear…

A: Given that : Two balanced die are rolled.  We know that a die contains ( 1,2,3,4,5,6) Total outcome…

Q: If two dice are rolled once at the same time, what is the probability that the sum of the dots…

A: Know that  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2)…

Q: A 6 sided and a 10 sided die are rolled simultaneously. What is the probability both dice will show…

A: Given that A 6 sided and a 10 sided die are rolled simultaneously.the probability that both a…