The letters in the word "Paris" are written on separate slips of paper, and placed in a bag. Each letter will be put back after it's drawn. What is P(r, then vowel)?

Question

turingtest · Answer

what is the probability of drawing the r first?

anonymous · Answer

1/5

turingtest · Answer

right, now how many letters are left in the bag?

anonymous · Answer

4

turingtest · Answer

oh nevermind, each is put back

turingtest · Answer

sorry so there are 5 again

anonymous · Answer

That's alright. So the probability of drawing a vowel would be 2/5

anonymous · Answer

well your twice as likely to draw a vowel over the r that would make the probability of drawing a r over a vowel 1/2 I think

turingtest · Answer

@catnorris
right, and are the drawing independent?

turingtest · Answer

drawings*

anonymous · Answer

My answer choices are 1/5, 2/5, 3,5 and 2/25. It's independent.

turingtest · Answer

then you can multiply the probabilities of the two events

anonymous · Answer

Okay thank you! That's 2/25

turingtest · Answer

yep :)

anonymous · Answer

but that mean you have double slips of paper when you have 5/5 chances to draw any letter. but you have 3/5 chances to get p,r,s  and 2/5 to get a vowel but 1/5 for each p,r,s so wouldn't that make the answer 1/5 just wondering

turingtest · Answer

I'm sorry I don't think I understand. There is a 1/5 chance of drawing any individual letter, but why would that be the answer? We are drawing two letters

anonymous · Answer

ok so it would be 2/5