Find the probability of obtaining 2 ones, 1 two, 1 three, 2 fours, 3 fives, and 1 six in 10 rolls of an unbalanced die in which odd numbers occur twice as of the even number.

Q: Suppose that the number of bacteria in a pond of water has an average rate of 24 bacteria per 8…

A: Given that, there are 24 bacteria per 8 mm3  This means per 1 mm3 , there are 24/8=3 bacterias.…

Q: Find the probability that the number obtained is not greater than 4.

A: A fair die is rolled so sample space is (1, 2, 3, 4, 5, 6).

Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: In a class with 7 boys and 9 girls, Three students are selected at random. The probability…

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Q: What is the probability that 6 rolls of a fair die will show 4 exactly 2 times

A: Let us consider success as the die showing up 4. Then, p=p(Success)=16. Let X be the number of times…

Q: A die is rolled 3 times. What is the probability of showing a(n) 5 on every roll?

A: We have given that a die is rolled 3 times. We have to find the probability of showing 5 on every…

Q: In a large population, 67 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Let X be the number of people has been vaccinated.   n=5 and p=0.67 X ~ B (n=5, p=0.67)

Q: Find the probability that one large bottle selected at random will contain more than the combined…

A: Given :                            For small bottles Mean(μ)=338,standard deviation σ=3…

Q: Find the probability of 'getting 4 on rolling a die'

A: When a die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6   Let E be the event of getting 4…

Q: |Suppose that a single die with 19 sides (numbered 1, 2, 3, . , 19) is rolled once. What is the…

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Q: Suppose that a single die with 6 sides (numbered 1, 2, 3, ..., 6) is rolled twice. What is the…

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Q: A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number…

A: Consider that die is rolled twice. The sample space of die is rolled twice is, The total number of…

Q: A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the dice…

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Q: A coin has a probability of p = 0.5 for getting a head in each toss. And it was tossed 6 times. What…

A: Given: Probability of heads (1 - p) = 0.50 Probability of success or tails (p) = 1 - 0.50…

Q: Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as…

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Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: Sample space for a die rolled twice is given by,…

Q: Find the probability of obtaining an even number in one roll of a die.

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Q: Assume that you select 4 coins at random from 8 coins: 6 dimes and 2 quarters. What is the…

A: Given Data: The total number of coins is: n=8 The number of coins selected is: r=4 The number 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: Find the chance that the highest number rolled is a four when a single die is rolled 7 times.

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Q: (a) What is the probability that boys and girls alternate in a random row arrangement of 3 boys and…

A: Given, there are 3 boys and 3 girls. and arrangement is in alternate form which may be BGBGBG or…

Q: An archer is able to hit the bull's-eye 60% of the time. If she shoots 25 arrows, what is the…

A: Let "X" be she is able to hit the bulls-eye.

Q: Find the probability of 3 coins showing all heads when tossed simultaneously.

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Q: Two dies are rolled, find the probability that the sum is greater than 16 16 O None of these 12 16

A: Answer - Two dice are rolled               then    n(S)  = 36

Q: find the probability of observing (a) exactly 2 defectives, (b) at least three defectives, (c) 2≤X<5…

A: Given: There are 15 fuses in sample so n=15 p = probability of defective fuse = 5% = 5/100 = 0.05  q…

Q: Find the probability that a randomly selected group of five adults will contain all women. Give your…

A: Let the probability of selecting a man and woman is 1/2

Q: Find the probability that in 200 tosses of a fair die, we will obtain at least 40 fives

A: Binomial approximation:The normal distribution can be used as an approximation to the binomial…

Q: Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. What is the…

A: We have to find given probabiity.

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: Find the probability of getting an even number when a die is thrown.

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Q: The probability of getting at least 2 heads when a coin is tossed four times is?

A: Obtain the probability of getting at least 2 heads when a coin is tossed four times. The probability…

Q: Suppose that you roll a 6-sided die two times.  What is the probability that you get a 2 followed by…

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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: Find the probability of getting a number less than 5 in a single throw of a die.

A: Solution: 1. Suppose a die is thrown. Then, the sample space is

Q: Find the probability that when a couple has four children, at least one of them is a boy. ​(Assume…

A: From the given information n = 4. In this case, the probability of couple getting a boy or girl is…

Q: Roll a six-sided die four times. If it is known that 1 appeared at least once, what is the…

A: From the provided information, Number of times die rolls = 4 Probability of getting a 1 for any…

Q: Find the probability of purchasing a ticket with a number whose sums of the first three and last…

A: There are 28 possible sums for three digits, but they are not equiprobable. Let’s analize first this…

Q: Find the probability that when a couple has two children, at least one of them is a boyboy. ​(Assume…

A: Consider,B be the event shows that couple has baby boy.G be the event that shows the couple has baby…

Q: Suppose that on five consecutive days an "instant winner" lottery ticket is purchased and the…

A: Define the Random Variable, X : Number of days purchased a winning ticket in 5 days X ~…

Q: Find the probability of getting not greater than 3 in a single throw of a die.

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Q: Find probability of rolling both odd number when roll two dice.

A: We hvae to find given probability..

Q: A dice is rolled 2 times. What is the probability Of showing a 6 on every roll?

A: When a die is rolled there are 6 possible outcomes that are 1,2,3,4,5,6. Similarly a dice is rolled…

Q: A die is riled five times. Find the probability of getting 4 exactly three times

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Q: In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Given that, 68% of the people have been vaccinated. Probability, p = 68% = 0.68 Sample size, n = 3

Q: Find the probability of obtaining a sum that is divided by 2 without remaining * .from a single toss…

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

Q: 2. Find the probability of rolling a 4 on a fair die given that it will land even?

A: If a die is rolled the possible outcomes are S=1,2,3,4,5,6Let ∈ be the event of getting even…

Q: Find the probability that when a couple has six children. At least one of them is a boy. (Assume…

A: Given Data: The number of children is: n=6 The probability of boy and girl is equally likely. So,…

Q: Find the probability that in a family of 5 children, there will be at most 2 girls. Assume that the…

A: Solution: Let X be the number of girls and n be the sample number of children. From the given…

Q: A die is rolled twice. What is the probability of showing an odd number on the first roll and a…

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Q: A bag contains 3 yellow and 5 black balls, If 2 balls are drawn in succession without replacement,…

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