Consider the circles shown to the right Assume one circle is

Consider the circles shown to the right Assume one circle is selected at random and each circle is equally likely to be selected Determine the probability of selecting a black number, given that the circle is yellow. The probability of selecting a black number, given that the circle is yellow, is

Solution

It\'s given that the circle chosen is yellow.

Hence, our sample space reduces to only 2 circles { 1 and 6 }

Now,

Choosing a black number out of these two has a zero probability since both the numbers are red.

Hence,

P ( B | yellow circle ) = 0

Hope this helps.