Question

please, answer with detailes and explnation

6(10). A coin is tossed three times. a) What is the probability that it lands on heads exactly one time? b) What is the probability that it lands on heads at least one time?

Answer 1

Given that n=3 p=0.5 9 = 1-P (no. of coln tossed ) cprobability of success) = 1-0.5 = 0.5 formula, Pcx=x) = "cx px qnx 6 exactly one Heads PCX=1) = 36, (0.5)' cos, 3-1 = 3! ! (3-1) x 0.5 x 0:5? PCX 21) = 0.375 probability of getting exactty one heads is = 0.375 6 at least one heads | PCX2) - Pcx-1) + PCX 22) + Pcx 23) - - 3c, (OS)' (0:53-1 + BC2 co.s? co.s32 + 3 C3 Co.s3 co.s333 + PCX 2,1 = 0.875 I probability of getting at least one heads is= 0.875