getcalc.com's solved example with solution to find what is the probability of getting 7 Heads in 10 coin tosses.
P(A) = 176/1024 = 0.17
for 7 Heads in 10 Coin Flips | ||
---|---|---|
Atleast 7 Heads | Exactly 7 Heads | |
Total Events n(S) | 1024 | 1024 |
Success Events n(A) | 176 | 120 |
Probability P(A) | 0.17 | 0.12 |
The above probability of outcomes applicable to the below questions too.
The ratio of successful events A = 176 to the total number of possible combinations of a sample space S = 1024 is the probability of 7 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 7 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, HHHHHHHTTT, HHHHHHTHHH, HHHHHHTHHT, . . . . . . ,TTHHHHTHHH, TTHHHTHHHH, TTHHTHHHHH, TTHTHHHHHH, TTTHHHHHHH}
A = 176
step 3 Find the probability
P(A) = Successful Events/Total Events of Sample Space
= 176/1024
= 0.17
P(A) = 0.17
0.17 is the probability of getting 7 Heads in 10 tosses.