a coin is tossed two times. the set of outcomes is given as s = {hh, ht, th, tt}. let x represent the number…

a coin is tossed two times. the set of outcomes is given as s = {hh, ht, th, tt}. let x represent the number of times heads occurs. complete the table. a = b = c = done

a coin is tossed two times. the set of outcomes is given as s = {hh, ht, th, tt}. let x represent the number of times heads occurs. complete the table. a = b = c = done

Answer

Explanation:

Step1: Calculate probability for (X = 0)

The outcome with 0 heads is TT. There are 4 total outcomes. So (a=\frac{1}{4}).

Step2: Calculate probability for (X = 1)

The outcomes with 1 head are HT and TH. There are 2 such outcomes. So (b = \frac{2}{4}=\frac{1}{2}).

Step3: Calculate probability for (X = 2)

The outcome with 2 heads is HH. There is 1 such outcome. So (c=\frac{1}{4}).

Answer:

(a=\frac{1}{4}), (b=\frac{1}{2}), (c=\frac{1}{4})