1. Ten unbiased coins are tossed simultaneously. Find the probability of obtaining, (i) Exactly 6 heads (ii) At least 8 heads (iii) No head (iv) At least one head (v) Not more than three heads (vi) At least 4 heads

Q: A fair coin is tossed six times. Find the probability of getting four heads.

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Q: 7. Suppose a team of size 4 is to be selected from a group of 6 girls and 8 boys. Find the…

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Q: 16. The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that…

A: Let ,L=a person own a laptopC=a person own a carP(L)=0.45P(C)=0.85P(C∩L)=0.35

Q: A fair coin is flipped eight times and the number of heads is counted. Calculate the probability…

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Q: 2. Find the probability that in tossing a fair coin three times, there will appear (a) 3 heads, (b)…

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Q: 3. What is the probability of getting at most 4 tails heads when a fair of coin is tossed 6 times?

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Q: pair of fair dice is tossed. Find he probaointy of getung a) A total of 8 b) At most a total of 5

A: 3. Since , the pair of dice is rolled. Therefore , the sample space is  given by ,…

Q: Ten coins are tossed simultaneously. What is the probability that at least 3 of the results will be…

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Q: Someone has two boxes with coins in them. The first one has seven coins and the second has four.…

A: It is given that, There are two boxes. 1st box contains 7 coins and 2nd box has 4. So, the total…

Q: 7. Vladimir rolls two six-sided dice. What is the probability that he rolls a sum greater than 10 or…

A: From the provided information, Vladimir rolls two six-sided dice. Total outcomes = 36

Q: 4. The probability of an examinee passing the board exam is 0.6. Find the probability of passing the…

A: Given that  p = 0.6 p : probability of an examinee passing the board exam. X ~ Geometric(p = 0.6)…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 5 type A balls, 8 type B…

A: Here  the golf bag contains 5 type A balls, 8 type B balls, and 3 type C balls, Then, total balls =…

Q: 1. What is the probability of randomly selecting a Jack from the deck of 52 cards?

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Q: A box contains 10 blue, 5 yellow and 8 orange balls. Two balls are drawn at random. What is the…

A: From the provided information, A box contains 10 blue, 5 yellow and 8 orange balls. Total balls in…

Q: On the average, two tornadoes hit major U.S. metropolitan areas every year. What is the probability…

A: 8. Given that the average number of tornadoes hit major U.S metropolitan areas every year is 2. Let…

Q: A fair coin is tossed n times. Show that the probability of getting an even number of heads is.

A: Given: A fair coin is tossed n times. To Prove: The probability of getting an even number of heads…

Q: nat is the probability of getting at east 2 eads wnen a col sed fou imes.

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Q: 4. In rolling a die repeatedly, what is the probabilıty that 1 appears for the first time on the 4th…

A: Probability of success is 16. Probability of failure is 56. Determine the probability that number 1…

Q: 9. A bag contains 100 balls numbered 1 to 100. One ball is drawn from the bag. What is the…

A: given data, A beg contains 100 balls numbered 1 to 100sample space :{1,2,...,100}n=100we have to…

Q: 17. In a certain factory producing certain articles, the probability that an article is defective is…

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Q: 5. There are 5 balls in a box. Three are red, two are blue. Draw a ball twice at random, with…

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Q: 1. What is the probability that two of the next three presidents of the United States will have been…

A: Probability of an event is the ratio of number of favorable outcomes to total number of outcomes

Q: 4. A coin is tossed 8 times. What is the probability of getting exactly 3 heads?

A: Answer Sample size [n] =8Favorable cases [x] =3P =1/2 =0.5

Q: 13) Approximately 59.4% of adults have added bleach to their laundry. Assume six adults are randomly…

A: Given n=6 P=0.594

Q: . If a single coin is flipped four times, find the probability that two or more heads occur.

A: Let p be the probability of getting head. Then p = 0.5 Let X denote the number of heads in four…

Q: 22. What is the probability of getting at least 2 heads when a coin is tossed four times? a. 5/8 b.…

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Q: 16. In an experiment, a two-sided coin is tossed three times. After each toss, the result (heads or…

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Q: 1. A coin is thrown three times. What is the probability that at least one head is obtained?

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Q: 12. Find the probability that at most 5 defective fuses will be found in a box of 200 fuses if…

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Q: The probability that an entering college student will graduate is 0.4. Determine the probability…

A: From the provided information, Sample size (n) = 5 Probability that an entering college student will…