67. What is the probability that a leap year selected at random will conta either 53 Thursdays or 53 Fridays ?
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A: Total possible 5 digit no. = 65 = 7776
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A: Number of ways of arranging 4 sticks will be: Total ways = 4! = 24
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A: Number of tosses of six-sided dice =12 So, total number of possible outcomes = 612=2176782336 If…
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- If N persons are seated at a round table find the probability that two named persons are neighbours to each other.13.) A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails, the whole string will go dark. Each light has probability 0.98 of working for a 3- year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years.The state runs a lottery once every week in which six numbers are randomly selected from 23 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. What is the probability that exactly 3 of the 6 numbers chosen by a player appear in the state's sample? Report answer to 3 decimal places.
- Find the probability that a man asked to form a two digit number out of 2, 3, 5, 7, 9 would form 79 when, (a) repetitions are not allowed (b) repetitions are allowed.What is the probability that at least two out of n people have some birthday? Assume 365 days in a years and that all days are equally likely.What is the probability that the sum of two randomly selected integers chosen from the first 200 positive integers 1, 2, 3, . . ., 200 is even?
- 035/ A Fair die is rolled eight times. Find the probability that no more then 2 Sixes come upCalculate the probability of flipping a half-dollar coin eight times and seeingat least one head6) In a turn during a game, you must roll a 6-sided die and spin the spinner shown. What is the probability you get at least a 5 on either the die or the spinner? ∞
- Assume that a fair six-sided die is rolled 9 times, and the roll is called a success if the result is in {1,2}{1,2}. What is the probability that there are exactly 1 successes or exactly 1 failures in the 9 rolls?A three-digit numeral is formed by selecting digits from {2, 4, 6, 7} without repetition. Find the probability that the number formed is: Less than 700 Greater than 600 Contains only even digits An even number