10. A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45, Suppose the coin is tossed twice and the results of tosses are independent. a.What is the probability of obtaining exactly two heads?

Question

b.What is the probability of obtaining no heads?
c.What is the probability of obtaining at least one head?

Answer 1

two heads
tosses are independent
.55 * .55 = .3025

probability of tails = 1-.55 = .45
two tails
.45 * .45 = .2025

probability of 1 head + probability of 2 heads
= probability of head, then tail + probability of tail then head + probability of two heads
= 1 - probability of 2 tails
= 1 -.2025 = .7975