Question

what are the outcomes when three coins are tossed simultaneously ? what is the probability of not getting three heads or three tails?

Answer 1

When 3 coins are tossed,
Sample space, S={HHH,HHT,HTH.,THH,TTH, THT,HTT,TTT}; n (S)=8
Let A be the event of not getting three heads or three tails.
Then A={HHT,HTH.,THH,TTH, THT,HTT,}
n(A)=6
So p(A)= n(A)/n(S)=6/8=3/4