aramuseum.org"s solved example with solution to find what is the probability of getting 3 Heads in 5 coin tosses. P(A) = 16/32 = 0.5

for 3 Heads in 5 Coin FlipsAtleast 3 HeadsExactly 3 Heads

Total Events n(S) | 32 | 32 |

Success Events n(A) | 16 | 10 |

Probability P(A) | 0.5 | 0.31 |

The above probability of outcomes applicable to the below questions too.

Probability of flipping a coin 3 times and getting 5 heads in a row Probability of getting 5 heads when flipping 3 coins together A coin is tossed 3 times, find the probability that at least 5 are heads? If you flip a fair coin 3 times what is the probability that you will get exactly 5 heads? A coin is tossed 3 times, what is the probability of getting exactly 5 heads?

The ratio of successful events A = 16 to the total number of possible combinations of a sample space S = 32 is the probability of 3 heads in 5 coin tosses. Users may refer the below solved example work with steps to learn how to find what is the probability of getting at-least 3 heads, if a coin is tossed five times or 5 coins tossed together. Users may refer this tree diagram to learn how to find all the possible combinations of sample space 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

**Solution**Step by step workoutstep 1 Find the total possible events of sample space 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 Find the expected 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 Find the probability P(A) = Successful Events/Total Events of Sample Space = 16/32 = 0.5 P(A) = 0.5 0.5 is the probability of getting 3 Heads in 5 tosses.

The ratio of successful events A = 10 to total number of possible combinations of sample space S = 32 is the probability of 3 heads in 5 coin tosses. Users may refer the below detailed solved example with step by step calculation to learn how to find what is the probability of getting exactly 3 heads, if a coin is tossed five times or 5 coins tossed together.

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**Solution :**Step by step workout step 1 Find the total possible combinations of sample space 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 Find the expected or successful events A A = {HHHTT, HHTHT, HHTTH, HTHHT, HTHTH, HTTHH, THHHT, THHTH, THTHH, TTHHH} A = 10 step 3 Find the probability P(A) = Successful Events/Total Events of Sample Space = 10/32 = 0.31 P(A) = 0.31 0.31 is the probability of getting exactly 3 Heads in 5 tosses.