Step by Step SolutionListing the sample points for experimentWhile tossing a fair coin 3 times, the number of total outcomes will be equal to 23 = 8. Let us denote H for observing a head and T for observing a tail, Show
Therefore, the Sample points are Assigning probabilities to sample points Determining the probability of event A, B and CThree heads are observed One observes three heads on the coin only once, n(A) = 1, n(S) = total number of outcomes = 8
Therefore, the probability of getting 3 heads is . Exactly two heads are observed One observes exactly two heads (H, H, T), (H, T, H), and (T, H, H), thus n (B) = 3, n(S) = total number of outcomes = 8
Therefore, the probability of getting exactly 2 heads is . At least two heads are observed. One observes at least 2 heads (H,H,T), (H,T,H), and (T,H,H), and (H,H,H), thus n(A) = 4, n(S) = total number of outcomes = 8. Therefore, the probability of getting at least 2 heads is . What is the probability of getting heads exactly 3 times when you toss a coin 7 times?The coin is tossed seven times, so the number of trials, n=7 . The success for us, is getting heads for which the probability, p=0.5 . Similarly, the probability to get tails is, q=0.5 . The probability to get exactly 3 heads is 0.2734 , and the probability to get at most three heads is 0.5 .
What is probability of getting at least 3 heads?Answer: If you flip a coin 3 times the probability of getting 3 heads is 0.125. When you flip a coin 3 times, then all the possibe 8 outcomes are HHH, THH, HTH, HHT, TTH, THT, HTT, TTT. Explanation: Possible outcomes are HHH, THH, HTH, HHT, TTH, THT, HTT, TTT.
What is the probability of getting at least 3 heads when you toss a fair coin 5 times?=(10+5+1)×321=21.
What is the probability of getting at least 3 heads when you toss a fair coin 5 times 5 16?Considering a fair coin, after 5 flips, there are 25 = 32 different arrangements of heads and tails. Therefore, the probability of exactly 3 heads is 5/16.
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What is the probability of getting at least 3 heads in 7 tosses of a fair coin?
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