getcalc.com's solved example with solution to find what is the probability of getting 3 Heads in 8 coin tosses.
P(A) = 219/256 = 0.86
for 3 Heads in 8 Coin Flips | ||
---|---|---|
Atleast 3 Heads | Exactly 3 Heads | |
Total Events n(S) | 256 | 256 |
Success Events n(A) | 219 | 56 |
Probability P(A) | 0.86 | 0.22 |
The above probability of outcomes applicable to the below questions too.
The ratio of successful events A = 219 to the total number of possible combinations of a sample space S = 256 is the probability of 3 heads in 8 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 eight times or 8 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.
Solution
Step by step workout
step 1 Find the total possible events of sample space S
S = {HHHHHHHH, HHHHHHHT, HHHHHHTH, HHHHHHTT, HHHHHTHH, HHHHHTHT, HHHHHTTH, HHHHHTTT, HHHHTHHH, HHHHTHHT, . . . . . . ,TTTTTHTT, TTTTTTHH, TTTTTTHT, TTTTTTTH, TTTTTTTT}
S = 256
step 2 Find the expected or successful events A
A = {HHHHHHHH, HHHHHHHT, HHHHHHTH, HHHHHHTT, HHHHHTHH, HHHHHTHT, HHHHHTTH, HHHHHTTT, HHHHTHHH, HHHHTHHT, . . . . . . ,TTTTHHHH, TTTTHHHT, TTTTHHTH, TTTTHTHH, TTTTTHHH}
A = 219
step 3 Find the probability
P(A) = Successful Events/Total Events of Sample Space
= 219/256
= 0.86
P(A) = 0.86
0.86 is the probability of getting 3 Heads in 8 tosses.