A club with 25 members is voting on a proposal. A group of 4 has decided to vote in favor of
the proposal while each of the rest of the members vote independently with a chance of 46% in
favor of the proposal. What are the chances that the proposal will get the majority vote.
Solution
P(k)=(27 C k) (0.42^k) (0.58^(27-k)) where (27 C k) = 27!/[(k)! * (27-k)!].
Therefore, to find the probability that the proposal is going to pass, we have:
P(proposal passing)=P(12)+P(13)+P(14)+P(15)+P(16)+P....
A club with 25 members is voting on a proposal. A group of 4 has deci.pdf
1. A club with 25 members is voting on a proposal. A group of 4 has decided to vote in favor of
the proposal while each of the rest of the members vote independently with a chance of 46% in
favor of the proposal. What are the chances that the proposal will get the majority vote.
Solution
P(k)=(27 C k) (0.42^k) (0.58^(27-k)) where (27 C k) = 27!/[(k)! * (27-k)!].
Therefore, to find the probability that the proposal is going to pass, we have:
P(proposal passing)=P(12)+P(13)+P(14)+P(15)+P(16)+P...
![A club with 25 members is voting on a proposal. A group of 4 has decided to vote in favor of
the proposal while each of the rest of the members vote independently with a chance of 46% in
favor of the proposal. What are the chances that the proposal will get the majority vote.
Solution
P(k)=(27 C k) (0.42^k) (0.58^(27-k)) where (27 C k) = 27!/[(k)! * (27-k)!].
Therefore, to find the probability that the proposal is going to pass, we have:
P(proposal passing)=P(12)+P(13)+P(14)+P(15)+P(16)+P...](https://image.slidesharecdn.com/aclubwith25membersisvotingonaproposal-230323140557-2d25e5d3/85/a-club-with-25-members-is-voting-on-a-proposal-a-group-of-4-has-decipdf-1-320.jpg)
