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? 12 6 24 3

Answer 1

The value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

From a card at random from an ordinary deck of 52 cards is picked.If the card is a diamond, you get some points. There are total 13 diamonds in a deck of cards.

Thus, the probability of picking a diamond from 52 cards is,

$P=\dfrac{13}{52}\\P=\dfrac{1}{4}$

The probability of not picking a diamond from 52 cards is,

$P'=1-\dfrac{1}{4}\\P'=\dfrac{3}{4}$

If the picked card is not a diamond, then the 2 points are lost. Let X is the score in the game. If the game is fair then the expected value for this should be 0. Thus,

$0=x\times \dfrac{1}{4}+2\times\dfrac{(-3)}{4}\\x=6$

Hence, the value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer 2

Answer:

B) 6

Step-by-step explanation:

Edg 2022