Math help for my son need HELP badly! 10 points best answer?

1.You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.

A.7/12

B.1/3

C.12/5

D.5/12

4.You mix the letters S, E, L, E, C, T, E, and D thoroughly. Without looking, you draw one letter. Find the probability of each event as a fraction, a decimal, and a percent.

P(not the letter I)

A.1; 1; 100%

B.0; 0; 0%

C.7/8; 0.875; 87.5%

D.1/8; 8; 8%

5.You mix the letters S, E, L, E, C, T, E, and D thoroughly. Without looking, you draw one letter. Find the probability of each event as a fraction, a decimal, and a percent.

P(not a consonant)

A.3/8, 0.375, 37.5%

B.3/5, 0.60, 60%

C.5/8; 0.625; 62.5%

D.1/2, 0.5, 50%

7.A Lights-A-Lot quality inspector examines a sample of 30 strings of lights and finds that 8 are defective.

a. What is the experimental probability that a string of lights is defective?

b. What is the best prediction of the number of defective strings of lights in a delivery of 400 strings of lights?

A.3/40; 30 lights

B.4/15; 107 lights

C.4/15; 106.67 lights

D.1/50; 8 lights

10.Use the random number table to simulate flipping a coin. Suppose each even digit, including 0, represents heads and each odd digit represents tails.

23948 71477 12573 05954

65628 22310 09311 94864 = Table.

41261 09943 34078 70481

34831 94515 41490 93312

Use the table to find P(heads).

A.43/80

B.1/2

C.40/80

D.37/80

Solve problems 11–12 by making an organized list.

11. In a playground there are 47 wheels moving around with 19 students riding bicycles and tricycles. How many bicycles and tricycles are in motion?

A.13 bicycles, 8 tricycles

B.10 bicycles, 11 tricycles

C.10 bicycles, 9 tricycles

D.11 bicycles, 9 tricycles

12.Al’s Tire Shop replaces the tires on both cars and bicycles. On a particular afternoon, the shop replaced all the tires on 8 vehicles. In all, 18 tires were replaced. How many cars and bicycles did the shop work on that afternoon?

A.2 cars, 6 bicycles

B.3 cars, 6 bicycles

C.1 car, 7 bicycles

D.0 cars, 1 bicycles

13.A piglet weighs 7 lb at birth. It gains 1.5 lb per day. At this rate, how old will the piglet be when it reaches a weight triple its birth weight?

A.8 days old

B.10 days old

C.11 days old

D.21 days old

14.A standard number cube is tossed x times. How many different outcomes are possible?

A.6x

B.6x

C.6 + x

D.36x

15.A coin is tossed four times.What is the probability of getting tails four times in a row?

A.1/32

B.1/8

C.2

D.1/16

16.A bag contains 4 blue marbles, 10 green marbles, and 11 yellow marbles. Twice you draw a marble and replace it. Find P(yellow, then blue)

A.44/625

B.3/5

C.3/125

D.44/25

17.If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant? Letters: L, U, Z, O, I, E.

A.1/2

B.1/12

C.1/9

D.2.9

18.A drawer contains 5 red socks, 10 white socks, and 3 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. Find P(red, then blue).

A.5/108

B.5/18

C.5/102

D.2/81

19.The diagram shows the contents of a jar of marbles. You select two marbles at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a blue marble and then a green marble? Red: 4, Blue: 7, Green: 5. Total:16

A.7/16

B.7/48

C.35/256

D.1/20

20.How many different arrangements can be made with the letters from the word ORANGE?

A.120

B.720

C.46,656

D.12

For problems 21–22, write the number of permutations in factorial form. Then simplify

21.G H I J K L

A.6!; 120

B.6!; 36

C.7!: 5,040

D.6!; 720

22.The number of different ways in which you and six friends can sit in your assigned seats when you go to a concert.

A.7!; 720

B.6!; 720

C.8!; 40,320

D.7!; 5,040

A pizza shop offers the toppings shown below. How many different 5-topping pizzas can you make?

Topping' s: Pepperoni, Mushrooms, Sausage, Onion, Ham, Pineapple, Olives.

A.120

B.6

C.21

D.7

Some questions I left out because he knew the answer... any help is a BIG help!

Thanks So Much!