Question

Is Event B dependent or independent of Event A? A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one.Please provide detail.

Answer 1

Answer:

Step-by-step explanation:

Given that events are as follows:

A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one

i.e. drawings of balls are made without replacement

Suppose there are m green balls and n red balls, where m+n =5

Prob of drawing green ball =m/5

After I draw made remaining are n red balls and m-1 green balls

Prob of drawing red ball now =n/4

Prob for drawing one green and one red simultaneously = $\frac{mC1*nC1}{5C2} \\= \frac{mn}{10}$

Product of the two probabilities = $\frac{m}{5} *\frac{n}{4} \\=\frac{mn}{20}$