Three balance coins are tossed simultaneoulsy. If X denotes the number of heads, find probaility distribution of X.

Explanation

When three balanced coins are tossed then the sample space is
{HHH,HHT,HTH,THH,HHT,THT,TTH,TTT}
X denotes the number of heads.
`therefore` X can take the vlue 0,1,2,3.
`therefore P[X = 0] = P(0) = (1)/(8)`
`P[X = 1] = P(1) = (3)/(8)`
`P[X = 2] = P(2) = (3)/(8) " "P[X = 3] = P(3) = (1)/(8)`
`therefore` the required probabilty distribution is .