Probability of Getting 9 Tails in 10 Coin Tosses
getcalc.com's solved example with solution to find what is the probability of getting 9 Tails in 10 coin tosses.
P(A) = 11/1024 = 0.01
| for 9 Tails in 10 Coin Flips | ||
|---|---|---|
| Atleast 9 Tails | Exactly 9 Tails | |
| Total Events n(S) | 1024 | 1024 |
| Success Events n(A) | 11 | 10 |
| Probability P(A) | 0.01 | 0.01 |
The above probability of outcomes applicable to the below questions too.
- Probability of flipping a coin 9 times and getting 10 tails in a row
- Probability of getting 10 tails when flipping 9 coins together
- A coin is tossed 9 times, find the probability that at least 10 are tails?
- If you flip a fair coin 9 times what is the probability that you will get exactly 10 tails?
- A coin is tossed 9 times, what is the probability of getting exactly 10 tails?
Atleast 9 Tails in 10 Coin Tosses
The ratio of successful events A = 11 to the total number of possible combinations of a sample space S = 1024 is the probability of 9 tails 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 9 tails, 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 = {HTTTTTTTTT, THTTTTTTTT, TTHTTTTTTT, TTTHTTTTTT, TTTTHTTTTT, TTTTTHTTTT, TTTTTTHTTT, TTTTTTTHTT, TTTTTTTTHT, TTTTTTTTTH, TTTTTTTTTT}
A = 11
step 3 Find the probability
P(A) = Successful Events/Total Events of Sample Space
= 11/1024
= 0.01
P(A) = 0.01
0.01 is the probability of getting 9 Tails in 10 tosses.