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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b) Let H represents heads and T represent tails. What formula should be used to find the probability that at least one of the coins shows heads? O A. P(at least one H) = 1- (P(two H) + P(one H, one T)) O B. P(at least one H) = P(two H) + P(two T)- P(one H, one T) OC. P(at least one H) = P(two H) + P(one H, one T) - P(two T) O D. P(at least one H) = 1- P(two T) The probability that at least one of the coins shows heads is (Simplify your answer.) c) What formula should be used to find the probability that the two coins show the same side? O A. P(same side) = P(two H) + P(two T) O B. P(same side) = P(two H) + P(two T) - P(one H, one T) OC. P(same side) = 1- (P(two H) + P(two T)) O D. P(same side) = P(two H) P(two T) The probability that the two coins show the same side is (Simplify your answer.)
Transcribed Image Text:b) Let H represents heads and T represent tails. What formula should be used to find the probability that at least one of the coins shows heads? O A. P(at least one H) = 1- (P(two H) + P(one H, one T)) O B. P(at least one H) = P(two H) + P(two T)- P(one H, one T) OC. P(at least one H) = P(two H) + P(one H, one T) - P(two T) O D. P(at least one H) = 1- P(two T) The probability that at least one of the coins shows heads is (Simplify your answer.) c) What formula should be used to find the probability that the two coins show the same side? O A. P(same side) = P(two H) + P(two T) O B. P(same side) = P(two H) + P(two T) - P(one H, one T) OC. P(same side) = 1- (P(two H) + P(two T)) O D. P(same side) = P(two H) P(two T) The probability that the two coins show the same side is (Simplify your answer.)
Outcome Frequency Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results shown to the right. a) What is the probability that both coins show heads? b) What is the probability that at least one of the coins shows heads? c) What is the probability that the two coins show the same side? Two heads 63 One head, one tail Two tails 102 35 a) How is the probability that both coins show heads found? O A. Divide the frequency of "two heads" by the total. O B. Subtract the probability of "two tails" from 1. O C. Find the sum of the probabilities to "two heads" and "one head, one tail." O D. Find the sum of the probabilities of "two heads" and "two tails. The probability that both coins shown heads is (Simplify your answer.)
Transcribed Image Text:Outcome Frequency Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results shown to the right. a) What is the probability that both coins show heads? b) What is the probability that at least one of the coins shows heads? c) What is the probability that the two coins show the same side? Two heads 63 One head, one tail Two tails 102 35 a) How is the probability that both coins show heads found? O A. Divide the frequency of "two heads" by the total. O B. Subtract the probability of "two tails" from 1. O C. Find the sum of the probabilities to "two heads" and "one head, one tail." O D. Find the sum of the probabilities of "two heads" and "two tails. The probability that both coins shown heads is (Simplify your answer.)
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