The expected value of the game is the mean value of the game
The expected value of the game is $1
<h3>How to determine the expected value?</h3>
There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:

This gives

Simplify

Evaluate

Hence, the expected value of the game is $1
Read more about expected values at:
brainly.com/question/15858152
Answer:
x + 12x = 36
Step-by-step explanation:
Let X = the number
12x would be 12 times the number
We need the sum of these two:
x + 12x = 36
Answer:
13
Step-by-step explanation:
We're trying to find the distance between points X and Y. Or the distance of X-Z plus Z-Y.
Lets find the distance of X-Z
6-2=4
Now lets find the distance of Z-Y
15-6=9
Now we add the distances
4+9=13
Let A represent the amount Ann contributed, Z represent Zoe's contribution, and J represent Jim's contribution toward the present.
Ann (A): A
Zoe (Z): A = Z - 12 → Z = 12 + A
Jim (J): A = J - 16 → J = 16 + A
A + Z + J = 154
(A) + (12 + A) + (16 + A) = 154
3A + 28 = 154
3A = 126
A = 42
Ann (A): A = 42
Zoe (Z): Z = 12 + A = 12 + 42 = 54
Jim (J): J = 16 + A = 16 + 42 = 58
Answer: Ann=42, Zoe=54, Jim=58