Levian flips a fair coin and rolls a fair six-sided dice, and then records both results. He does this 360 times. How many times would you expect Levian to get an outcome of heads and an even number?

Question

Levian flips a fair coin and rolls a fair six-sided dice, and then records both results. He does this 360 times. How many times would you expect Levian to get an outcome of heads and an even number?

Answer 1

Since a fair coin has 2 outcomes (either head or tail) and a fair six-sided dice has 6 outcomes, Levian has a total of 2 * 6 = 12 possible outcomes every time he tosses the coin and rolls the dice – H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6.Out of these 12 outcomes, 3 happen with heads landing up and an even roll on the dice - H2, H4, H6. Hence the chance he will draw either of these 3 outcomes from all possible outcomes on each trial is 3 out of 12 or 1/4th. If he performs this trial 360 times, given each trial are independent from one another, it would be expected for one of these 3 outcomes to occur on 1/4th or exactly 25% of his attempts.Therefore, her expected outcome of getting both heads and an even number would be 360*25/100 = 90.

Question

Levian flips a fair coin and rolls a fair six-sided dice, and then records both results. He does this 360 times. How many times would you expect Levian to get an outcome of heads and an even number?

Answer

Answer

Explanation