Question

a) Create a probability question using dice that illustrates the addition rule.

b) Create a probability question using a deck of cards that illustrates the multiplication rule.

c) Create a probability question using coin tosses that illustrates the idea of complements. .

Answer 1

(a) what is the probability of getting either 1 or 2 in a roll of dice?

P(1 or 2) = P(1) + P(2) {ADDITON RULE}

= 1/6 + 1/6

= 2/6

(b) what is the probability of getting two aces in two draws of cards with replacement

P(ace in 1st draw AND ace in 2 draw) = P(ace in 1st draw)*P(ace in 2 draw)

= (4/52)*(4/52) = 1/169

(c) probability of not getting both heads in two coin tosses

P(not HH) = P{HH)c = 1 - P(HH) = 1- (1/2)*(1/2) = 1 - 1/4 = 3/4