Question

If two persons are randomly selected without replacement, a. What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men? b. What is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women? 2. Flip a fair coin twice. Let H: the coin lands on a head; T: the coin lands on a tail. S = {(H, H), (H, T), (T, H), (T, T); Find: a. P(both are H) b. P(1" is TU 2nd is H) c. P(both are Tat least one T)

Answer 1

Answer:

Question 1 Data is not given as the spaces are not aligned with respect to question 2

Answer 2:

a:)

P(both are H) = event of having two head / total event = 1/4 = 0.25

P(both are H) =0.25

b)

P(1st is T union 2nd is Head) = (N(1st T) + N(2nd is Head) - N(1st is T intersect 2nd is Head))/ total event

=(2+2-1)/4 = 3/4 = 0.75

P(1st is T union 2nd is Head) = 0.75

c)

P(both are T|at least one is T) =P(both are T) /P(at least one T) = (1/4)/(3/4) = 1/3 =0.33

P(both are T|at least one is T) =0.33