Question

When two coins are tossed together, then probability of finding at least
one head is-
2
1
(b)
3
2
1
3
(c)
(d)​

Answer 1

S = {HH, HT, TH, TT}

where H: the outcome is a “Head” and T: the outcome is a “Tail” and the probabilities associated with each of these outcomes are equal assuming the coins are fair.

When we say at most 1 “Head” outcome, it means that only 1 of the two coins show up a “Head” or that the no “Head” outcome shows up.

If A is the event obtaining at most 1 “Head” outcome, then the set of outcomes that makes up event A is

A = {(HT), (TH), (TT)}

Hence, the probability of event A is

P(A) = 3/4 = 0.75