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

- anonymous

- schrodinger

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- sandra

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

- anonymous

i dont even know

- sandra

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

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## More answers

- bahrom7893

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

- sandra

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

- anonymous

1 is not prime

- anonymous

is it will be 11/ 36?

- sandra

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

- sandra

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

- anonymous

11/36?

- sandra

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

- sandra

so 11/37 is the answer to a

- sandra

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

- anonymous

oo waittt

- anonymous

well

- anonymous

in 400 spins

- anonymous

i dont kno

- sandra

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

- anonymous

1 head or 1 tails .. lol

- sandra

exactly - and the same principle applies here

- sandra

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

- sandra

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

- sandra

so 1 head, and 1 tail

- sandra

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?

- sandra

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

- sandra

so 11/37 * 400

- anonymous

okay
i get it

- sandra

so you would expect 118.92 primes

- anonymous

484/37

- sandra

you forgot a zero on the top

- sandra

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

- sandra

so you would expect to spin 119 or so prime numbers

- sandra

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

- sandra

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

- anonymous

how did you even get 118.92?

- sasogeek

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

- sandra

go for it =)

- anonymous

ok i get it :)

- sasogeek

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

- anonymous

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)

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