Question

at a homeowners accosication meeting a board memenber can vote yes or no on a motiion. there are three motions on which the board memenber must vote. determine the probablity that a board member votes yes on all 3 motions

Answer 1

how many homeowners are there?

Answer 2

it doesnt say it only says that they are 3 motions

Answer 3

yes yes yes
yes yes no
yes no yes
yes no no
no no no
no yes yes
no yes no
no no yes

Answer 4

there are total eight possible ways of voting.Out of which you want only one (all 3 yes).So the probability is 1/8

Answer 5

ok so.. about 24

Answer 6

so 1 out of 8

Answer 7

\[1/2^3\] since the total amount is \[2^3\] and there is only one occurence of all yes

Answer 8

1/8

Answer 9

so what would be the probability that a board member votes yes on atleast one motion

Answer 10

well there is only one occurence where they vote all no, so that means that the remaining possibilities have at least one yes. so 7/8

Answer 11

thanks