Question

Ben has a 40% chance of being selected as the president of the school sports club and a 70% chance of being elected editor of the school magazine.

What is the probability that Ben will be selected as the president of the sports club and will also be elected editor of the school magazine?

0.3%
1.1%
14%
28%

Answer 1

@shifuyanli

Answer 2

@sleepyjess

Answer 3

@Data_LG2

Answer 4

Please stop posting and tagging without ANY of your own work shown.

40% Pres and 60% not Pres
70% Editor and 30% not Editor

The first thing is to determine if the two events are INDEPENDENT. Are they?

Answer 5

Its just that I dont know anything about this basially

Answer 6

i think they might be, idk

Answer 7

Well, then you are in the wrong class and you need to go have a very sincere chat with your academic adviser.

If they are independent, then you can just multiply the probabilities.

Answer 8

oh ok thx

Answer 9

I can imagine how they would not be independent.

Given an open response, I would say, "Assuming the two events are independent, 0.7 * 0.4 = 0.28 - The probability of winning both elections."

Answer 10

so are they independent?

Answer 11

Not enough information is given. That's why I included it in my answer.

Looking at the choices,

0.3%
1.1%
14%
28%

If they are not independent, the probability of both is not likely to be that much less than 28% unless there is a known rule against winning both elections. Since we don't know that, let's go with "Independent" and hope we get this one right. We can then be on guard in the future to ASK and CHALLENGE anyone who gives us a problem that isn't quite clear enough.

Answer 12

oh ok