 invernessgangshow.net"s solved instance with systems to discover what is the probability of acquiring 3 heads in 5 coin tosses. P(A) = 16/32 = 0.5

Total occasions n(S)3232
Success occasions n(A)1610
Probability P(A)0.50.31

The above probability the outcomes applicable to the listed below questions too.
Probability that flipping a coin 3 times and getting 5 heads in a heat Probability of gaining 5 heads when flipping 3 coins with each other A coin is tossed 3 times, discover the probability that at the very least 5 space heads? If you upper and lower reversal a same coin 3 time what is the probability the you will certainly get specifically 5 heads? A coin is tossed 3 times, what is the probability of getting specifically 5 heads?

The ratio of successful events A = 16 come the total variety of possible combinations of a sample space S = 32 is the probability of 3 top in 5 coin tosses. Users may refer the listed below solved example work with procedures to learn just how to uncover what is the probability of obtaining at-least 3 heads, if a coin is tossed five times or 5 coins tossed together. Users might refer this tree diagram to learn just how to discover all the feasible combinations that sample an are for flipping a coin one, two, three or four times.

You are watching: A coin is tossed five times. find the probability of getting exactly three heads.

SolutionStep by action workoutstep 1 uncover the total feasible events of sample room S S = HHHHH, HHHHT, HHHTH, HHHTT, HHTHH, HHTHT, HHTTH, HHTTT, HTHHH, HTHHT, HTHTH, HTHTT, HTTHH, HTTHT, HTTTH, HTTTT, THHHH, THHHT, THHTH, THHTT, THTHH, THTHT, THTTH, THTTT, TTHHH, TTHHT, TTHTH, TTHTT, TTTHH, TTTHT, TTTTH, TTTTT S = 32 action 2 uncover the meant or successful events A A = HHHHH, HHHHT, HHHTH, HHHTT, HHTHH, HHTHT, HHTTH, HTHHH, HTHHT, HTHTH, HTTHH, THHHH, THHHT, THHTH, THTHH, TTHHH A = 16 step 3 discover the probability P(A) = effective Events/Total events of Sample room = 16/32 = 0.5 P(A) = 0.5 0.5 is the probability of gaining 3 heads in 5 tosses.

The ratio of successful occasions A = 10 to total variety of possible combinations of sample room S = 32 is the probability of 3 top in 5 coin tosses. Users might refer the below detailed solved instance with action by step calculation to learn how to uncover what is the probability the getting exactly 3 heads, if a coin is tossed five times or 5 coins tossed together.

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Solution : step by action workout action 1 discover the total possible combinations of sample room S S = HHHHH, HHHHT, HHHTH, HHHTT, HHTHH, HHTHT, HHTTH, HHTTT, HTHHH, HTHHT, HTHTH, HTHTT, HTTHH, HTTHT, HTTTH, HTTTT, THHHH, THHHT, THHTH, THHTT, THTHH, THTHT, THTTH, THTTT, TTHHH, TTHHT, TTHTH, TTHTT, TTTHH, TTTHT, TTTTH, TTTTT S = 32 step 2 uncover the meant or successful occasions A A = HHHTT, HHTHT, HHTTH, HTHHT, HTHTH, HTTHH, THHHT, THHTH, THTHH, TTHHH A = 10 action 3 uncover the probability P(A) = successful Events/Total events of Sample an are = 10/32 = 0.31 P(A) = 0.31 0.31 is the probability of getting exactly 3 top in 5 tosses.