sample space | MathCelebrity Forum

# sample space

1. ### An airplane carries 500 passengers 45% are men, 20% are children. The number of women in the airplan

An airplane carries 500 passengers 45% are men, 20% are children. The number of women in the airplane is If we assume the sample space is either men, women, or children to get 100% of the passengers, we have: PercentWomen = 100% - Men - Children PercentWomen = 100% - 45% - 20% PercentWomen =...
2. ### A company has 81 employees of whom x are members of a union how many are not in the union

A company has 81 employees of whom x are members of a union how many are not in the union You can either be a union member or a non-union member. This is our sample space. If we have 81 employees and x are union members, this means that: Non-Union membes = 81 - x
3. ### You roll a standard, fair, 5-sided die and see what number you get. Find the sample space of this ex

You roll a standard, fair, 5-sided die and see what number you get. Find the sample space of this experiment. Write your answer using { } symbols, and write your values in order with a comma but no spaces between Sample Space: {1,2,3,4,5}
4. ### three coins are tossed.how many different ways can they fall?

three coins are tossed.how many different ways can they fall? 8 outcomes using our coin toss calculator
5. ### A fair six-sided die is rolled. Describe the sample space.

A fair six-sided die is rolled. Describe the sample space. {1, 2, 3, 4, 5, 6}
6. ### Two coins are flipped 2 times. Calculate the total outcomes of these coins.

Two coins are flipped 2 times. Calculate the total outcomes of these coins. 2 coins * 2 outcomes per coin = 4 possible outcomes H,H H,T T,H T,T
7. ### A coin is tossed 3 times. a. Draw a tree diagram and list the sample space that shows all the possib

A coin is tossed 3 times. a. Draw a tree diagram and list the sample space that shows all the possible outcomes type in "toss a coin 3 times" and pick the probability option.
8. ### A test has three true-false questions. Find the total number of ways you can answer the three questi

A test has three true-false questions. Find the total number of ways you can answer the three questions We can either choose T or F. So we have: Question 1: 2 choies Question 2: 2 choices Question 3: 2 choices 2 * 2 * 2 = 8 choices TTT TTF TFT FTT FTF FFT TFF FFF
9. ### Ted tossed a number cube and rolled a die. How many possible outcomes are there?

Ted tossed a number cube and rolled a die. How many possible outcomes are there? A number cube has 6 possible outcomes A die has 6 possible outcomes. We have 6 * 6 = 36 possible outcomes.
10. ### sample space for flipping a coin 3 times

sample space for flipping a coin 3 times Each flip gives us 2 possible outcomes, heads or tails. So we have: 2 * 2 * 2 = 8 possible outcomes HHH HHT HTH HTT THH THT TTH TTT
11. ### can 0.2 be the probability of an outcome in a sample space?

can 0.2 be the probability of an outcome in a sample space? Yes. Any probability p is a valid sample space outcome if: 0 <= p <= 1
12. ### If the probability of an event occurring is 7%, what is the probability of an event not occurring?

If the probability of an event occurring is 7%, what is the probability of an event not occurring? The probability of all event is 1, or 100%. If we treat the success of an event as p, then q is 1 - p. Using percentages, we have: q = 100% - p Given p = 7%, we have: q = 100% - 7% q = 93%
13. ### Write a sample space for rolling a dice twice

Write a sample space for rolling a dice twice Each die roll has 6 possible outcomes. So 2 die-rolls has 6^2 = 36 possible outcomes: 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6
14. ### the sample space for a coin being tossed twice

the sample space for a coin being tossed twice Since each toss results in 2 outcomes, we have 2^2 = 4 possible events in the sample space: H,H H,T T,H T,T
15. ### flip 7 coins How many total outcomes are there

flip 7 coins How many total outcomes are there A flip of a coin has 2 outcomes, heads or tails. Since each outcome is independent of the other outcomes, we multiply each flip by 2 outcomes: Total outcomes = 2 * 2 * 2 * 2 * 2 * 2 * 2 Total outcomes = 2^7 Total outcomes = 128
16. ### Two dice are rolled. Enter the size of the set that corresponds to the event that both dice are odd.

Two dice are rolled. Enter the size of the set that corresponds to the event that both dice are odd. If dice 1 is odd, then we have the following face values: {1, 3, 5} If dice 2 is odd, then we have the following face values: {1, 3, 5} From this 2 dice odds face link, we see that the size of...
17. ### A pair of standard dice is rolled, how many possible outcomes are there

A pair of standard dice is rolled, how many possible outcomes are there? We want the number of outcomes in the sample space. The first die has 6 possibilities 1-6. The second die has 6 possibilities 1-6. Our sample space count is 6 x 6 = 36 different outcomes (1, 1) (1, 2) (1, 3) (1, 4)...
18. ### What is the sample space for a 10 sided die?

What is the sample space for a 10 sided die? Sample space means the set of all possible outcomes. For a 10-sided die, we have: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
19. ### You roll a red die and a green die. What is the size of the sample space of all possible outcomes of

You roll a red die and a green die. What is the size of the sample space of all possible outcomes of rolling these two dice, given that the red die shows an even number and the green die shows an odd number greater than 1? Red Die Sample Space {2, 4, 6} Green Die Sample Space {3, 5} Total...
20. ### Out of 53 teachers 36 drink tea 18 drink coffee, 10 drink neither. how many drink both?

Out of 53 teachers 36 drink tea 18 drink coffee, 10 drink neither. how many drink both? Let T be tea drinkers Let C be coffee drinkers Let (T & C) be Tea & Coffee drinkers. And 53 are total. So we use the Union formula relation: C U T = C + T - (C & T) 53 = 18 + 36 - (C & T) C & T = 53 - (Not...