Question

If a fair coin is tossed 6 times, what is the probability, rounded to the nearest thousandth, of getting at least 3 heads?

ANSWER IS 0.656

Answer 1

Explanation:

For each outcome there are

s!/(n!(s-n)!) combinations

where s is the number of selections and n is the number of specific outcomes

The probability of any specific outcome for 6 tosses of a coin is (1/2)^6

[(1/2)^6]*[(6!/6!)+(6!/(5!)+(6!/(4! 2!)+(6!/(3! 3!)]

(1/2)^6*(1+6+15+20)

42(1/2)^6

42(1/64)

42/64

21/32 which is 0.65625

0.656 (rounded to nearest thousandth)