Question

A coin is tossed 5 times. Find the probability that exactly 2 are heads.

The probability that exactly 2 are heads is?

​(Type an integer or decimal rounded to the nearest thousandth as ​needed.)

Answer 1

Fair coin is tossed 5 times . Hence total number of outcomes = 2^5 = 32.

Find the total possible events of sample space S
S = {HHHHH, HHHHT, HHHTH, HHHTT, HHTHH, HHTHT, HHTTH, HHTTT, HTHHH, HTHHT, HTHTH, HTHTT, HTTHH, HTTHT, HTTTH, HTTTT, THHHH, THHHT, THHTH, THHTT, THTHH, THTHT, THTTH, THTTT, TTHHH, TTHHT, TTHTH, TTHTT, TTTHH, TTTHT, TTTTH, TTTTT}

S = 32
step 2 -Find the expected or successful events A
A : exactly 2 heads appears.
A = {HHTTT, HTHTT, HTTHT, HTTTH, THHTT, THTHT, THTTH, TTHHT, TTHTH, TTTHH}

A = 10

step 3 Find the probability
P(A) = Successful Events / Total Events of Sample Space
=10/ 32

= 0.31
P(A) = 0.31

0.31 is the probability of getting exactly 2 Heads in 5 tosses.

Hit like please.