1.

Question

what is the sample space of a single 6 - sided die where the number is less than 4?

list your values from smallest to largest. [put a single space after the comma, like so: 5, 6, 7]

the sample space is: (______)

2.
what is the sample space of the product two 6-sided die where the first number is 6?

list your values from smallest to largest. [put a single space after the comma, like so: 5, 6, 7]

the sample space is: (_____)

3.
john has to make all 3 free throws to win the game. Assume each free throw is an independent event and that the pressure of the situation has no impact on him. if john is a 55% free throw shooter what is the percent chance that john makes all three free throws? do not round your answer.

johns probability to make all three shots is: ___%

4.
what is the probability of flipping a fair coin and it landing on heads and rolling a 3 on a fair six sided die?

the probability is: ___

Answer 1

1. The sample space of a single 6-sided die where the number is less than 4 is: (1, 2, 3)

2. The sample space of the product of two 6-sided dice where the first number is 6 is: (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

3. John's probability to make all three shots is: 55% * 55% * 55% = 16.375%

4. The probability of flipping a fair coin and it landing on heads and rolling a 3 on a fair six-sided die is: 1/2 * 1/6 = 1/12 or approximately 8.33%

Answer 2

2, 3, and 4 are all wrong

Answer 3

Apologies for the errors. Let's correct them:

2. The sample space of the product of two 6-sided dice where the first number is 6 is: (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

3. The probability of John making all three free throws is calculated as 0.55 * 0.55 * 0.55 = 0.166375 or 16.6375%

4. The probability of flipping a fair coin landing on heads and rolling a 3 on a six-sided die is: P(Heads) * P(3 on die) = (1/2) * (1/6) = 1/12 or approximately 8.33%