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 6?

Answer 1

To find the probability of tossing heads followed by rolling a number less than 6, we first need to determine the total number of possible outcomes.

The total number of outcomes for tossing a fair coin and rolling a fair number cube is 2 * 6 = 12, as there are 2 possible outcomes for the coin toss (heads or tails) and 6 possible outcomes for the number cube roll.

The outcomes that satisfy the conditions of tossing heads followed by rolling a number less than 6 are:

- Heads & rolling a 1,
- Heads & rolling a 2,
- Heads & rolling a 3,
- Heads & rolling a 4,
- Heads & rolling a 5.

There are a total of 5 satisfying outcomes.

Therefore, the probability of tossing heads followed by rolling a number less than 6 is given by the number of satisfying outcomes divided by the total number of outcomes:

P(tossing heads followed by rolling a number less than 6) = 5/12 ≈ 0.4167

So, the probability of tossing heads followed by rolling a number less than 6 is approximately 0.4167 or 41.67%.

Answer 2

please put your answer in the form of a fraction