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Kanal postlari
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Which of the following is an example of a continuous random variable? a) Age in years b) Number of coin flips c) Number of siblings d) Number of pages in a book
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A card is drawn at random from a deck of 52 playing cards. If the card drawn is a diamond, what is the probability that it is a face card (jack, queen, king)? A. ¼ B. 1/13 C. 3/13 D. 1/3
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4
A bag contains 4 red and 6 black balls. Two balls are drawn at random from the bag without replacement. What is the probability that both balls are black? (a) 3/5 (b) 1/5 © 1/3 (d) 2/5
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Two dice are rolled. What is the probability that the second die shows an odd number given that the sum of the two dice is 7? a) ½ b) 1/3 c) 2/3 d) 1/6
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A bag contains 4 white balls, 5 red balls and 6 green balls. What is the probability of selecting a red or a green ball? Ans -11/15
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Above question
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What is the Multiplication Theorem? a) The probability of simultaneous occurrence of events A and B is given by P (A ∩ B) = P(A) P(B) b) The probability that an event A will occur given that event B has already occurred is denoted by P (B/A) c) The occurrence of one event affects the occurrence of the other d) The probability that events A and B are independent
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Which of the following is the Addition Theorem? a) P(A ∪ B) = P(A) + P(B) – P(A ∩ B) b) P(A ∩ B) = P(A) + P(B) – P(A ∪ B) c) P(A) = P(A ∩ B) + P(A ∩ Bc) d) P(A) = P(A ∪ B) + P(A ∩ B)
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A bag contains 4 red and 6 blue balls. If two balls are drawn randomly without replacement, find the probability that both balls are blue. A) 3/5 B) 1/3 C) 2/5 D) 4/5
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A card is drawn at random from a deck of 52 playing cards. Find the probability of getting a face card or a diamond. (a) 17/52 (b) 19/52 © 21/52 (d) 23/52
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A card is drawn at random from a well shuffled pack of 52 playing cards. What is the probability that the card drawn is a face card (i.e., a king, queen, or jack)? Ans -3/13
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What are exhaustive events? a) Events that never occur b) Events that have no favourable outcomes c) Events that cannot happen together in the same trial d) Events that together constitute the sample space
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In an experiment of throwing a dice where S = {1, 2, 3, 4, 5, 6}, what is the event of getting odd numbers? a) A = {1, 3, 5} b) A = {2, 4, 6} c) A = {1, 2, 3, 4, 5, 6} d) A = {1, 2}
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Above question
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What is an essential condition for a trial to be considered a random experiment? a) The experiment must have only one possible outcome b) The experiment must be conducted under identical conditions c) The experiment must be conducted outdoors d) The experiment must involve physical activity
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In how many ways can 4 prizes be distributed among 6 students if each student can receive at most one prize?
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If there are four things a, b, c, and d, how many permutations are there of three things taken at a time? A) 12 B) 24 C) 36 D) 48
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What is the formula for nCr? A) nCr = n! B) nCr = r! C) nCr = (n-r)! D) nCr = n! / (r! * (n-r)!)
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What is the formula for factorial n? A) n! = n × (n – 1) × (n – 2) × … × 2 × 1 B) n! = n × (n – 1) … (n – r + 1) × (n – r)! C) n! = n × (n – 1) × (n – 2) × … × 3 × 2 × 1 D) n! = n × (n – 1) × (n – 2) × … × 2
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