What is the sample space for the given situation?

Question

Responses
A {3, 5, 7}
B {2, 3, 4, 5, 6, 7, 8, 9}
C {3, 4, 5, 6, 7, 8, 9}
D {1, 3, 5, 7, 9}

Answer 1

There is no given situation provided to determine the sample space.

Answer 2

When you press Enter on the keyboard, a computer program outputs a random odd number greater than 1 and less than 9.

Question 1
What is the sample space for the given situation?
Responses
A {3, 5, 7}
B {2, 3, 4, 5, 6, 7, 8, 9}
C {3, 4, 5, 6, 7, 8, 9}
D {1, 3, 5, 7, 9}

Answer 3

The sample space for the given situation is {3, 5, 7}. Therefore, the correct response is A.

Answer 4

A book club is trying to decide a day and time to meet. They can meet either Monday or Wednesday. The possible times are 2 p.m. or 6 p.m. What is the sample space for this situation?
Responses
A {(M, 2), (M, 6), (W, 2), (W, 6)}
B {(M, 2), (W, 6)}
C {(M, W), (2, 6)}
D {(M, 6), (W, 2)}

Answer 5

The sample space for this situation is {(M, 2), (M, 6), (W, 2), (W, 6)}. Therefore, the correct response is A.

Answer 6

Hannah is getting dressed for a party. She plans to wear either shorts or jeans, a red, blue or green shirt, and flip flops or tennis shoes. According to the tree diagram, how many possible outfits can she make?
Responses
A 1616
B 1414
C 1212
D 1010
E 88

Answer 7

According to the tree diagram, Hannah can make a total of 12 possible outfits:

- Shorts, red shirt, flip flops
- Shorts, red shirt, tennis shoes
- Shorts, blue shirt, flip flops
- Shorts, blue shirt, tennis shoes
- Shorts, green shirt, flip flops
- Shorts, green shirt, tennis shoes
- Jeans, red shirt, flip flops
- Jeans, red shirt, tennis shoes
- Jeans, blue shirt, flip flops
- Jeans, blue shirt, tennis shoes
- Jeans, green shirt, flip flops
- Jeans, green shirt, tennis shoes

Therefore, the correct response is C.

Answer 8

What was the probability of drawing a red marble?
Responses
A 1/21/2
B 1/41/4
C 1/3

Answer 9

There is insufficient information provided in the given question to determine the probability of drawing a red marble. Please provide more details.

Answer 10

You roll a six-sided die twice. What is the probability of rolling a 2 and then an odd number?
Responses
A 118
1 18
B 16
1 6
C 112
1 12
D 13

Answer 11

The probability of rolling a 2 on the first roll is 1/6. As there are three odd numbers (1, 3, and 5) on the die, the probability of rolling an odd number on the second roll, given that a 2 was rolled on the first roll, is 3/6 or 1/2. Using the multiplication rule of probability, we multiply the probabilities of the two independent events to get:

P(rolling a 2 and then an odd number) = P(rolling a 2) x P(rolling an odd number after rolling a 2) = (1/6) x (1/2) = 1/12

Therefore, the correct response is C.

Answer 12

A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.

What is the probability that you choose a blue marble and then another blue marble, assuming you replace the first marble?
Responses
A 124
1 24
B 34
3 4
C 116
1 16
D 12

Answer 13

The probability of choosing a blue marble on the first draw is 3/12 or 1/4, since there are 3 blue marbles out of a total of 12 marbles. Since the first marble is replaced, the probability of choosing a blue marble on the second draw is also 3/12 or 1/4.

Using the multiplication rule of probability, we multiply the probabilities of the two independent events to get:

P(choosing a blue marble and then another blue marble with replacement) = P(choosing a blue marble on the first draw) x P(choosing a blue marble on the second draw)

= (1/4) x (1/4)

= 1/16

Therefore, the correct response is C.

Answer 14

To win a prize at a carnival, a contestant needs to choose a red (R), blue (B), or yellow (Y) box. They also have to decide if there is a gold (G) or silver (S) ball under the chosen box. Which choice represents the sample space for the event?
Responses
A {R, B, Y, G, S, RG, RS, BG, BS, YG, YS}{R, B, Y, G, S, RG, RS, BG, BS, YG, YS}
B {R, B, Y}
{R, B, Y}
C {RG, RS, BG, BS, YG, YS}{RG, RS, BG, BS, YG, YS}
D {G, S}

Answer 15

The sample space for the event consists of all possible outcomes or choices. In this situation, the contestant needs to choose a box (R, B, or Y) and a ball (G or S) under that box. Therefore, the sample space consists of all possible combinations of the two choices:

{R, B, Y, G, S, RG, RS, BG, BS, YG, YS}

Therefore, the correct response is A.