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 coins. (iii) number of heads in four tosses of a coin. Select the correct answer from above options

Answer 1

(i) When a coin is tossed twice, the number of heads may be 0, 1,2 Sample space {HH, HT, TH, TT} (ii) When a coin is tossed thrice, the number of heads are 0, 1, 2, 3 Sample space {HHH, HHT, HTH, HTT, ITT, TTH, THT, THH (iii) When coin is tossed four times, the number of heads be 0, 1, 2, 3,4 Sample space {HHHH, HHHT, HHTH, HHTT, HTHT, HTHH, HTTH, TTTT, TTTH, HTTT, TTHT, TTHH, THTH, THTT, THHT, THHH}