Question

Find the probability distribution of(i) number of heads in two tosses of a coin.(ii) number of tails in the simultaneous tosses of three corns.(iii) number of heads in four tosses of a com. Select the correct answer from above options

Answer 1

(i) HH, HT, TH, TT x = 0,1,2 `p(x=0) = 1/4` `p(x=2) = 2/4=1/2` `p(x = 2) = 1/4` (ii) HHH,HHT,HTH,HTT,THH,THT,TTH,TTT `p(x = 0) = 1/8` `p(x =1) = 3/8` `p(x=2) = 3/8` `p(x=3) = 1/8` (iii) `2^4 = 16` `p(x=0) = (.^4C_4)/16 = 1/16` `p(x = 1) = (.^4C_1)/16 = 4/16` `p(x=2) = (.^4C_2)/16 = 6/16` `p(x=3) = (.^4C_3)/16 = 4/16` `p(x=4) = (.^4C_4)/16 = 1/16` answer