getcalc.com's solved example with solution to find what is the probability of getting 6 Heads in 10 coin tosses.
P(A) = 386/1024 = 0.38
for 6 Heads in 10 Coin Flips | ||
---|---|---|
Atleast 6 Heads | Exactly 6 Heads | |
Total Events n(S) | 1024 | 1024 |
Success Events n(A) | 386 | 210 |
Probability P(A) | 0.38 | 0.21 |
The above probability of outcomes applicable to the below questions too.
The ratio of successful events A = 386 to the total number of possible combinations of a sample space S = 1024 is the probability of 6 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 6 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, . . . . . . ,TTTHHHHTHH, TTTHHHTHHH, TTTHHTHHHH, TTTHTHHHHH, TTTTHHHHHH}
A = 386
step 3 Find the probability
P(A) = Successful Events/Total Events of Sample Space
= 386/1024
= 0.38
P(A) = 0.38
0.38 is the probability of getting 6 Heads in 10 tosses.