a coin is tossed 12 times then what is the probability at most 4 of the...
a coin is tossed 12 times then what is the probability at most 4 of the tosses are heads? what is the probability of the heads number more than 4 and less than 7?
four balls are drawn at random from a box containing 2 red 2 white and 1 yellow balls what is the probability that the remaining ball is red
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a coin is tossed 12 times then what is the probability at most 4
of the...
A fair coin is tossed 21 times. What is the probability that at most 18 heads occur? a) 0.0006341...
A fair coin is tossed 21 times. What is the probability that at most 18 heads occur? a) 0.00063419 b) 0.01074482 c) 0.99988937 d) 0.99925518 e) 0.00011063 An urn contains 11 white balls and 9 green balls. A sample of seven is selected at random. What is the probability that the sample contains at least one green ball? a) 0.946362 b) 0.995743 c) 0.999884 d) 0.053638 e) 0.000116 A classroom of children has 10 boys and 16 girls in which...
Suppose that a coin is tossed three times. We assume that a coin is fair, so...
Suppose that a coin is tossed three times. We assume that a coin is fair, so that the heads and tails are equally likely. Probability that two heads are obtained in three tosses given that at least one head is obtained in three tosses is ___________ Probability that that one head is obtained in three tosses given that at most one head is obtained in three tosses is ____________ at least one means one or more, at most one means...
(Question Consider a biased coin where P(Head) = p = 1-q, i.e. it is Bern(p) This...
(Question Consider a biased coin where P(Head) = p = 1-q, i.e. it is Bern(p) This coin is tossed 4 times. Then, the probability that the number of heads is different rom the number of tails is Question An urn contains 3 blue balls and 2 red balls. They are removed at random and not replaced. The probability that the last ball drawn is red is □ 3/5 □ 2/5 1/5 Question Consider a biased coin where P(Head)-p-1 -q, i.e....
A ball is taken at random from an urn containing 2 red balls and 3 blue...
A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X. (a) Compute the conditional probability that X-2 if it is known that...
Problem 3. A ball is taken at random from an urn containing 2 red balls and...
Problem 3. A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X (a) Compute the conditional probability that X-2 if it is...
A fair coin is tossed 6 times. A) What is the probability of tossing a tail...
A fair coin is tossed 6 times. A) What is the probability of tossing a tail on the 6th toss given the preceding 5 tosses were heads? B) What is the probability of getting either 6 heads or 6 tails?
a. Suppose that a fair coin is tossed 15 times. If 10 heads are observed, determine...
a. Suppose that a fair coin is tossed 15 times. If 10 heads are observed, determine an expression / equation for the probability that 7 heads occurred in the first 9 tosses. b. Now, generalize your result from part a. Now suppose that a fair coin is to be tossed n times. If x heads are observed in the n tosses, derive an expression for the probability that there were y heads observed in the first m tosses. Note the...
(1 point) A fair coin is tossed 12 times. What is the probability that: a) Exactly...
(1 point) A fair coin is tossed 12 times. What is the probability that: a) Exactly 10 heads appear?0.01611328125 b) At least two heads appear? 0.98095703125 c) At most 9 heads appear? 0.92724609375
#1 A coin will be tossed 10 times. Find the chance that there will be exactly...
#1 A coin will be tossed 10 times. Find the chance that there will be exactly 2 heads among the first 5 tosses, and exactly 4 heads among the last 5 tosses. #2 An 11-digit number is randomly chosen by drawing 11 times from a box that has one ticket for each of the numbers 0 to 9 and writing down the numbers on the tickets in the order in which they are drawn. Find the chance that exactly 4...
Suppose that a coin with probability 0.7 of heads is tossed 100 times. Let X be...
Suppose that a coin with probability 0.7 of heads is tossed 100 times. Let X be the number of heads obtained. What is the probability of obtaining a streak of at least 15 consecutive heads in the 100 tosses?
(Question Consider a biased coin where P(Head) = p = 1-q, i.e. it is Bern(p) This coin is tossed 4 times. Then, the probability that the number of heads is different rom the number of tails is Question An urn contains 3 blue balls and 2 red balls. They are removed at random and not replaced. The probability that the last ball drawn is red is □ 3/5 □ 2/5 1/5 Question Consider a biased coin where P(Head)-p-1 -q, i.e....
A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X. (a) Compute the conditional probability that X-2 if it is known that...
Problem 3. A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X (a) Compute the conditional probability that X-2 if it is...
(1 point) A fair coin is tossed 12 times. What is the probability that: a) Exactly 10 heads appear?0.01611328125 b) At least two heads appear? 0.98095703125 c) At most 9 heads appear? 0.92724609375
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