Probability of Getting 8 Heads in 10 Coin Tosses
getcalc.com's solved example with solution to find what is the probability of getting 8 Heads in 10 coin tosses.
P(A) = 56/1024 = 0.05
| for 8 Heads in 10 Coin Flips | ||
|---|---|---|
| Atleast 8 Heads | Exactly 8 Heads | |
| Total Events n(S) | 1024 | 1024 |
| Success Events n(A) | 56 | 45 |
| Probability P(A) | 0.05 | 0.04 |
The above probability of outcomes applicable to the below questions too.
- Probability of flipping a coin 8 times and getting 10 heads in a row
- Probability of getting 10 heads when flipping 8 coins together
- A coin is tossed 8 times, find the probability that at least 10 are heads?
- If you flip a fair coin 8 times what is the probability that you will get exactly 10 heads?
- A coin is tossed 8 times, what is the probability of getting exactly 10 heads?
Atleast 8 Heads in 10 Coin Tosses
The ratio of successful events A = 56 to the total number of possible combinations of a sample space S = 1024 is the probability of 8 heads in 10 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 8 heads, if a coin is tossed ten times or 10 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 = {HHHHHHHHHH, HHHHHHHHHT, HHHHHHHHTH, HHHHHHHHTT, HHHHHHHTHH, HHHHHHHTHT, HHHHHHHTTH, HHHHHHHTTT, HHHHHHTHHH, HHHHHHTHHT, . . . . . . ,TTTTTTTHTT, TTTTTTTTHH, TTTTTTTTHT, TTTTTTTTTH, TTTTTTTTTT}
S = 1024
step 2 Find the expected or successful events A
A = {HHHHHHHHHH, HHHHHHHHHT, HHHHHHHHTH, HHHHHHHHTT, HHHHHHHTHH, HHHHHHHTHT, HHHHHHHTTH, HHHHHHTHHH, HHHHHHTHHT, HHHHHHTHTH, HHHHHHTTHH, HHHHHTHHHH, HHHHHTHHHT, HHHHHTHHTH, HHHHHTHTHH, HHHHHTTHHH, HHHHTHHHHH, HHHHTHHHHT, HHHHTHHHTH, HHHHTHHTHH, HHHHTHTHHH, HHHHTTHHHH, HHHTHHHHHH, HHHTHHHHHT, HHHTHHHHTH, HHHTHHHTHH, HHHTHHTHHH, HHHTHTHHHH, HHHTTHHHHH, HHTHHHHHHH, HHTHHHHHHT, HHTHHHHHTH, HHTHHHHTHH, HHTHHHTHHH, HHTHHTHHHH, HHTHTHHHHH, HHTTHHHHHH, HTHHHHHHHH, HTHHHHHHHT, HTHHHHHHTH, HTHHHHHTHH, HTHHHHTHHH, HTHHHTHHHH, HTHHTHHHHH, HTHTHHHHHH, HTTHHHHHHH, THHHHHHHHH, THHHHHHHHT, THHHHHHHTH, THHHHHHTHH, THHHHHTHHH, THHHHTHHHH, THHHTHHHHH, THHTHHHHHH, THTHHHHHHH, TTHHHHHHHH}
A = 56
step 3 Find the probability
P(A) = Successful Events/Total Events of Sample Space
= 56/1024
= 0.05
P(A) = 0.05
0.05 is the probability of getting 8 Heads in 10 tosses.