Question

You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?
0.77
1.69
1.85
2.31

Answer 1

It is absolutely 2.31 because there are total 12 face cards so 12/52=2.31

Hope you understand and have a nice day

Answer 2

Thank you for asking this question, here is your answer:

We know that the deck has 52 cards.

and the allocation is like this:

4 Kings

4 queens

4 jacks

And if we calculate the probability of this we will get this:

4 + 4 + 4  = 12

12/52 = 23.1 %

The remaining cards are 40.

And the probability of those cards is:

40/45 = 76.9%

So in order to answer this question we will solve the following equation:

(0.231 x 10) - (0.769 x 2)  

(2.31) - (1.538)

= +0.769 is the final answer.

If there is any confusion please leave a comment below.