Question

If Quinn tosses a fair coin and then rolls a fair number cube labeled 1 through 6 what is the probability of tossing heads followed by

rolling a number less than 5?

Answer 1

1/3

Explanation:

Coin has heads or tails {H,T}

P(heads) =heads/ total = 1/2

Die has 6 possible outcomes {1,2,3,4,5,6}

There are 4 numbers less than 5 {1,2,3,4}

P(less than 5) = numbers less than 5/ total = 4/6 = 2/3

The events are independent so we multiply the probabilities

P(heads, less than 5) = 1/2 * 2/3 = 1/3