Question

You pick a card at random from an ordinary deck of 52 cards. if the card is a diamond, you get some points; if not, you lose 2 points. what value for the diamonds would make the game fair?

Answer 1

The value for the diamonds that would make the game fair is given by: Option 6

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.