Question

in 10 tosses of a coin the probability to get at least 8 heads
​

Answer 1

Answer:

So the probability of getting at least 8 heads in 10 coin flips is 0.0547.

Explanation:

Mark me as brainlist

Answer 2

Explanation:

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.

Exactly 8 heads in 10 Coin Flips

The ratio of successful events A = 45 to total number of possible combinations of sample space S = 1024 is the probability of 8 heads in 10 coin tosses. Users may refer the below detailed solved example with step by step calculation to learn how to find what is the probability of getting exactly 8 heads, if a coin is tossed ten times or 10 coins tossed together.

Solution :

Step by step workout

step 1 Find the total possible combinations 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 = {HHHHHHHHTT, HHHHHHHTHT, HHHHHHHTTH, HHHHHHTHHT, HHHHHHTHTH, HHHHHHTTHH, HHHHHTHHHT, HHHHHTHHTH, HHHHHTHTHH, HHHHHTTHHH, HHHHTHHHHT, HHHHTHHHTH, HHHHTHHTHH, HHHHTHTHHH, HHHHTTHHHH, HHHTHHHHHT, HHHTHHHHTH, HHHTHHHTHH, HHHTHHTHHH, HHHTHTHHHH, HHHTTHHHHH, HHTHHHHHHT, HHTHHHHHTH, HHTHHHHTHH, HHTHHHTHHH, HHTHHTHHHH, HHTHTHHHHH, HHTTHHHHHH, HTHHHHHHHT, HTHHHHHHTH, HTHHHHHTHH, HTHHHHTHHH, HTHHHTHHHH, HTHHTHHHHH, HTHTHHHHHH, HTTHHHHHHH, THHHHHHHHT, THHHHHHHTH, THHHHHHTHH, THHHHHTHHH, THHHHTHHHH, THHHTHHHHH, THHTHHHHHH, THTHHHHHHH, TTHHHHHHHH}

A = 45

step 3 Find the probability

P(A) =Successful Events

Total Events of Sample Space

=45

1024

= 0.04

P(A) = 0.04

0.04 is the probability of getting exactly 8 Heads in 10 tosses.

HOPE IT WILL HELP YOU