Question

Kian flips a fair coin and rolls a fair six-sided dice. Draw a sample space diagram to show all the possible outcomes. Work out the probability that he gets an outcome of tails and 3. Give your answer as a fraction in its simplest form.

Answer 1

The sample space for flipping a fair coin and rolling a fair six-sided die can be represented by a sample space diagram. The probability of getting an outcome of tails and 3 is 1/12.

Step-by-step explanation:

The sample space for flipping a fair coin and rolling a fair six-sided die can be represented by a sample space diagram. Let's represent heads as 'H' and tails as 'T', and the numbers on the die face as 1, 2, 3, 4, 5, and 6. The sample space diagram would look like this:

H1, H2, H3, H4, H5, H6

T1, T2, T3, T4, T5, T6

The total number of outcomes in the sample space is 12. The probability of getting an outcome of tails and 3 is 1 out of 12 (1/12).