Probability Tree for tossing a coin

If you toss a coin there are only two ways it can land - or tails up heads up There are two possibilities ½ ½ ½ of the time the coin will land ½ of the time the coin will land heads up tails up

½ ½ P(H) = ½ P(T) = ½ The probability of a tail, P(T) = ½ a head, P(H) = ½

½ ½ P(H) = ½ P(T) = ½ a second throw can lead to the following outcomes heads followed by heads heads followed by tails tails followed by tails tails followed by heads

½ ½ ½ ½ ½ ½ P(H,T) = ½ x ½ = ¼ P(T,H) = ½ x ½ = ¼ P(T,T) = ½ x ½ = ¼ P(H,H) = ½ x ½ = ¼

½ ½ ½ ½ ½ ½ P(H,T) = ½ x ½ = ¼ P(T,H) = ½ x ½ = ¼ P(T,T) = ½ x ½ = ¼ P(H,H) = ½ x ½ = ¼

What is the probability of getting at least one tail in two tosses? ½ ½ P(H) = ½ P(T) = ½ ½ ½ ½ ½ P(H,H) = ¼ P(H,T) = ¼ P(T,H) = ¼ P(T,T) = ¼ The probability of getting at least one head in two tosses = P(H,H) + P(H,T) + P(T,H) = ¼ + ¼ + ¼ = ¾ The probability of getting one head and one tail in two tosses = P(H,T) + P(T,H) = ¼ + ¼ = ½ What is the probability of getting at least one tail in two tosses?

Complete a probability tree for three tosses of the coin. ½ ½ P(H) = ½ P(T) = ½ ½ ½ ½ ½ P(H,H) =c ¼ P(H,T) = ¼ P(T,H) = ¼ P(T,T) = ¼ Complete a probability tree for three tosses of the coin. What is the probability of getting exactly two heads in three tosses?