Answer to Question #264189 in Statistics and Probability for henna

Question

If two coins, A and B are tossed simultaneously, find the probability of one-coin landing heads up and the other landing tails up in the following order.

a) Probability of coin A landing heads up

b) Probability of coin B landing tails up

c) Probability of coin A landing heads up and coin B tails up

d) Probability of coin A landing tails up

e) Probability of coin A landing tails up and coin B landing heads up

Answer 1

a)

$$P(A\ H)=\dfrac{1}{2}$$

b)

$$P(B\ T)=\dfrac{1}{2}$$

c)

$$P(A\ H \& B \ T)=\dfrac{1}{2}(\dfrac{1}{2})=\dfrac{1}{4}$$

d)

$$P(A\ T)=\dfrac{1}{2}$$

e)

$$P(A\ T\& B \ H)=\dfrac{1}{2}(\dfrac{1}{2})=\dfrac{1}{4}$$