Question

A prize wheen with a equal sectors numbered from 0 to 36 is spun 400 times. A prime number is the outcome 125 times. a) what is the theoreticcal probability of spinning a prime number? b) In 400 spins, how many times would you expect a prime number to occur ? c) compare your answer to part a) and part b) 4:59 pm

Answer 1

ok so first question is, how many numbers are prime in 0 through 36?

Answer 2

i dont even know

Answer 3

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Answer 4

1,2,3,5,7,11,13,17,1..aww u bet me to it lol

Answer 5

haha it's all good :p, took me a while

Answer 6

1 is not prime

Answer 7

is it will be 11/ 36?

Answer 8

so if there are 11 prime numbers between 0 and 36, what is the probability of a single spin landing on a prime number?

Answer 9

probability = (possibilities of a prime)/(total number of possibiliies)

Answer 10

11/36?

Answer 11

close! one problem is 0-36 is actually 37 numbers, since zero counts too :p

Answer 12

so 11/37 is the answer to a

Answer 13

so how do you think you get the answer to b?

Answer 14

oo waittt

Answer 15

well

Answer 16

in 400 spins

Answer 17

i dont kno

Answer 18

well, if I told you to flip a coin twice, how many times would you expect it lands heads, and how many times tails?

Answer 19

1 head or 1 tails .. lol

Answer 20

exactly - and the same principle applies here

Answer 21

so the probability of a coin landing heads is 1/2, since there are two sides, and heads is only one of them

Answer 22

so if you flipped it twice, you'd expect 1/2 * 2 heads to show up

Answer 23

so 1 head, and 1 tail

Answer 24

so now if the probability of spinning a prime is 11/37, how many primes would you expect to spin if you spun 400 times?

Answer 25

it's the same thing "probability of it happening once" x "number of attempts"

Answer 26

so 11/37 * 400

Answer 27

okay
i get it

Answer 28

so you would expect 118.92 primes

Answer 29

484/37

Answer 30

you forgot a zero on the top

Answer 31

11/37 x 400 = (400*11)/37 = 118.92

Answer 32

so you would expect to spin 119 or so prime numbers

Answer 33

that's less than the 125 that were spun in the problem example - but within reason

Answer 34

so part (c) is - that person spun more primes than you'd expect, but not unreasonably so

Answer 35

how did you even get 118.92?

Answer 36

just chipping in if yo don't mind... my msn got messed up. fixed now :)

Answer 37

go for it =)

Answer 38

ok i get it :)

Answer 39

though i can't answer this question now, looks like its already solved but i'll try it on my own :)

Answer 40

A card is chosen from a deck of cards, recorded, and then replaced. this is done 75 times and red card from 5 to 9 is chosen 21 times. a) what is the theoretical probability of a red card between 5 and 9 being chosen? b) how many times would you expect this event to happen in 75 trials? c) compare your answers to part a) and b)