A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 2 if it is known that the sum of the numbers landing uppermost is 7?

Q: if you roll a pair of fair dice, what is the probability of getting each of the following 7 11 2 or…

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

Q: In the tossing of two dice simulatneously; the probability of getting a total of 7 on the upper…

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Q: If two balanced dice are rolled, what is the probability that the sum of the two numbers that appear…

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Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

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Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

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Q: Two regular 6-sided dice are tossed, one at a time. Compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

Q: If two fair dice are rolled, find the probabilities of the following results A double, given that…

A: Consider the given information as If two fair dice are rolled, find the probabilities of the…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: As per given by the question, when two fair dice (one red and one green) are rolled then Find the…

Q: 1. If two fair dice are rolled, what is the probability that the sum will be greater than or equal…

A: We first make a table for the outcomes when two dice are rolled. sum Outcomes Number of…

Q: A study reports that 56% of residents of New Jersey support increased funding for public schools. If…

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Q: uppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: In the given question, concept of probability is applied. Probability The ratio of the number of…

Q: If a single fair die is rolled, find the probabilities of the follow- ing results A 4, given that…

A: When a single dice rolled: Possibilities outcomes are: 1, 2, 3, 4, 5, 6.

Q: Suppose I toss a fair coin, and the first toss comes up heads. If I keep tossing the coin until I…

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Q: A pair of unbiased dice is thrown. Find the probability that (i) the sum of spots is either 5 or 10,…

A: The sample space is 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)…

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

A: According to the given information, we have Two fair dice (one red and one green) are rolled.

Q: If we roll three six-sixed dice, what's the probability that all three show even numbers?

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Q: An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and…

A: According to the given information, an experiment consisting of rolling three fair dice red blue and…

Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: 2) A class has seven students. What is the probability that exactly four of the students were born…

A: 2)Givenn=7p=57    (students born on Monday through friday in 7 days)Let "x" be the no.of students…

Q: #15 Katie will roll this 12-sided dice 2 times. What is the probability that she will roll a 3 or a…

A: We know that, the values 1,2,3 & 4  satisfy the rules, and the probability is: P=(4*112)n…

Q: . What is the probability of rolling all “4”s? (Give answer as fraction or decimal to 4 decimal…

A: Consider X be the random variable representing the number of 6-sided dice among the 5 dices that…

Q: 1. If two balanced dice are rolled, what is the probability that the sum of the two numbers that…

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Q: Suppose that a person rolls two balanced dice three times in succession. Determine the probability…

A: Here Given two balanced die are rolled  so Probability of each outcome is  same And each is rolled…

Q: Let a pair of fair dice be tossed. If the sum of obtained values is 6 the probability that one of…

A: From the provided information, A pair of fair dice be tossed. Total outcomes = 36

Q: A pair of dice consisting of a six-sided die and a four-sided die is rolled and the sun is…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4. A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds.…

A: From the given information, Total time taken by traffic light is 80 seconds. For green it takes 45…

Q: If two fair dice are rolled, find the probabilities of the following results A sum of 6, given that…

A: Given: Two fair dice are rolled. Possible outcomes from a roll of dice are: {1, 2, 3, 4, 5, 6}.…

Q: If a pair of dice is tossed 6 times, what is the probability of obtaining of 7 or 11 twice, a…

A: Here, a pair of dice is tossed 6 times. The total number of possible outcomes is 36. The total of 7…

Q: A fair 10-sided die is tossed. What is the probability that the numbers 9 or 7 or 2 are tossed?

A: We are given a 10-sided die.So first we need to find outcomes and their corresponding…

Q: Joseph rolls a 6-sided die, observes the outcome, and then tosses a coin according to the number he…

A: We want to find the conditional probability

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given: A fair 6 sided dice which is rolled 9 times. Probability=Number of favourable outcomesTotal…

Q: A bag contains 7 white and 9 black balls. The balls are drawn in succession at random, what is the…

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Q: Each of the questions in this box pertains to rolling a pair of fair dice.   Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: 1) A man tosses two fair dice. What is the conditional probability that the sum of the two dice will…

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Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Define the events: A : Number on red die is 5B : Sum of numbers on both die is 9.

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

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Q: A coin is tossed six times. What is the probability that the outcome is six heads, given that…

A: When a coin is tossed probability of getting heads is 1/2 =0.5 Here coin is tossed 6 times .n=6…

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

A: It is given that the two fair dice ( one red and one green ) rolled. First number shows the red one…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

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Q: What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of…

A: Given At east one of a pair of fair dice lands of 5, The sum of the dice is 9

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: The sum can be 7 for the outcomes (1,6) , (2,5) , (3,4) , (4,3) , (5,2) , (6,1). This means…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

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Q: Two fair dice are rolled at once. Find the conditional probability that the sum is 6, given that the…

A: Concept of conditional probability:For any two events A and B with P(B) >0, the formula for…

Q: A pair of dice is tossed. If the numbers appearing are different, find the probability that sum is…

A: Possible outcomes when we toss two coins are,

Q: (d) If five balls are selected without replacement. What is the probability that we get three red…

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

Q: From a standard deck of cards, a card is taken randomly. What is the probability  that it is a spade…

A: As per our guidelines we are suppose to answer only one questionGivenTotal no.of cards in a deck =…

Q: b) Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: Introduction to Negative binomial distribution: Consider a random experiment involving x failures…

Q: Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: According to the provided information, roll the dice repeatedly, and keep flipping it until observe…