*

gimpppa.org"s solved example with solution to uncover what is the probability of gaining 2 heads in 3 coin tosses. P(A) = 4/8 = 0.5 because that total possible combinations because that sample an are S = HHH, HHT, HTH, HTT, THH, THT, TTH, TTT & successful occasions for obtaining at the very least 2 top A = HHH, HHT, HTH, THH because that an experiment consists of 3 independent events.

You are watching: The probability of tossing three coins simultaneously and obtaining two heads and one tail is


for 2 top in 3 Coin FlipsAtleast 2 HeadsExactly 2 Heads
Total occasions n(S)88
Success events n(A)43
Probability P(A)0.50.38

The over probability of outcomes applicable come the listed below questions too.
Probability that flipping a coin 2 times and getting 3 heads in a heat Probability of acquiring 3 heads as soon as flipping 2 coins together A coin is tossed 2 times, discover the probability the at the very least 3 space heads? If you upper and lower reversal a fair coin 2 times what is the probability the you will get specifically 3 heads? A coin is tossed 2 times, what is the probability that getting precisely 3 heads?

The proportion of successful occasions A = 4 come the total number of possible combinations of a sample an are S = 8 is the probability that 2 top in 3 coin tosses. Users may refer the listed below solved instance work with actions to learn how to discover what is the probability of gaining at-least 2 heads, if a coin is tossed three times or 3 coins tossed together. Users may refer this tree diagram to learn exactly how to discover all the possible combinations of sample room for flipping a coin one, two, three or four times.

SolutionStep by action workoutstep 1 uncover the total feasible events of sample an are S S = HHH, HHT, HTH, HTT, THH, THT, TTH, TTT S = 8 step 2 find the expected or successful events A A = HHH, HHT, HTH, THH A = 4 action 3 find the probability P(A) = successful Events/Total occasions of Sample space = 4/8 = 0.5 P(A) = 0.5 0.5 is the probability of gaining 2 heads in 3 tosses.


The proportion of successful occasions A = 3 to total variety of possible combine of sample room S = 8 is the probability that 2 heads in 3 coin tosses. Users may refer the below detailed solved example with action by step calculation come learn exactly how to find what is the probability of getting specifically 2 heads, if a coin is tossed 3 times or 3 coins tossed together.

See more: One For All For One And One For All Origin Ate? Unus Pro Omnibus, Omnes Pro Uno

Solution : step by step workout action 1 uncover the total possible combinations of sample an are S S = HHH, HHT, HTH, HTT, THH, THT, TTH, TTT S = 8 step 2 discover the expected or successful events A A = HHT, HTH, THH A = 3 step 3 find the probability P(A) = successful Events/Total events of Sample room = 3/8 = 0.38 P(A) = 0.38 0.38 is the probability the getting exactly 2 top in 3 tosses.