Question

Three fair coins are tossed simultaneously. Find the probability mass function for number of heads occurred.

Answer 1

When three coins are tossed, the sample space is 

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} 

‘X’ is the random variable denotes the number of heads. 

∴ ‘X’ can take the values of 0, 1, 2 and 3 

Hence, the probabilities