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 =
Answer
Explanation:
Step1: Calculate probability for (X = 0)
The outcome with 0 heads is TT. There are 4 total outcomes ((n(S)=4)). So (a=\frac{1}{4}).
Step2: Calculate probability for (X = 1)
The outcomes with 1 head are HT and TH. So there are 2 such outcomes. Then (b = \frac{2}{4}=\frac{1}{2}).
Step3: Calculate probability for (X = 2)
The outcome with 2 heads is HH. So (c=\frac{1}{4}).
Answer:
(a=\frac{1}{4}), (b=\frac{1}{2}), (c=\frac{1}{4})