Please solve this Problem its very Urgent Help Please

Question

In a survey find out from 6000000 people

80% like color yellow

60 % like color Blue

75% like color Red

65% like color Green

55% like color Black

70% like color Grey

40% like color Maroon

30% like color Sky

15% Like color Gold

So

How many people Like Color Yellow, Blue, Red ,Green, Black, Grey?

How many people Like Color Yellow, Blue, Red ,Green, Black?

How many people Like Color Yellow, Blue, Red ,Green?

How many people Like Color Yellow, Blue, Red?

Answer 1

The only way this can be solved is to assume independence. Then, we find these answers by multiplying together the probability for each to get the combined result.

However, we have to ask if we say 3 categories, does that mean not on the other categories (this is not clear in the above)

For example, under independence, P(yellow, blue, red) = P(yellow)P(blue)P(red) = 80% * 60% * 75% = 36% or .36

If this means not the others as well, we would calculate

P(yellow)P(blue)P(~red)P(~Green)P(~Black)P(~Grey)P(~Maroon)P(~Sky)P(~Gold)=

80% * 60% * 75% * 35% * 45% * 30% * 40% * 70% * 85% =

.404838% =

0.00404838