Question

Find the odds in favor of getting at least two tails when five fair coins are flipped.

Answer 1

Okaii lets start:

Odds in favor = \[\frac{ want }{ dontwant }\]

Answer 2

alright, got that part

Answer 3

@jim_thompson5910

Answer 4

Do you have a thought on this? Any ideas of what it would be, first?

Answer 5

Me? Not really, I thought it was something out of 32 just because 32 is the number of times it's flipped, but that's about as far as I got

Answer 6

it should be

want
------
total

Answer 7

so 32, would be the second number, but I'm not sure on the first number still

Answer 8

Odds is favor, @jim_thompson5910 ?

Answer 9

yeah

odds in favor are what you want over total

Answer 10

What I thought is that:

Odds in Favor = want/don't want

Odds Against = don't want/want

Answer 11

okay so how do I find what I want?

Answer 12

yeah @jim_thompson5910

"Odds in Favour/Favor of an Event is the ratio of "Number of Favorable Choices (Successes)" to "Number of Unfavourable Choices (Failures)"."

Answer 13

And

"Odds against an Event is the ratio of "Number of UnFavourable Choices (Failures)" to "Number of Favorable Choices (Successes)". "

Answer 14

There are 32 ways to flip 5 coins

There is 1 way to flip all heads: HHHHH

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There are 5 ways to flip 4 heads and 1 tail:

HHHHT
HHHTH
HHTHH
HTHHH
THHHH

Answer 15

So there are 6 ways to flip either 0 tails or 1 tail

Answer 16

So the odds in favor are

26: 6

using the definition some_someone wrote out

Answer 17

you can reduce that to get

13 : 3

Answer 18

Got it, Thank you!!!