Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- One of the two sides of the coin are heads.
- 2 of the 6 sides of the dice are 3 or 6.
Hence, since the coin and the dice are independent, the <em>probability </em>of winning is:

The expected value is the <u>sum of each outcome multiplied by its respective probability</u>.
In this problem:
probability of earning $30.
probability of losing $6.
Then:

The expected profit of one round of this game is of $0.
A similar problem is given at brainly.com/question/24855677
Answer:
for 38. D and E for 39 C
Step-by-step explanation:
The diameter of a circle is the distance across at its widest point (right through the center). The radius is the distance from any point on the circle to the center (which means it's half of the diameter. Since we know the radius of the manhole cover is 12 inches then...
diameter = 2 × r
diameter = 2 × 12
diameter = 24 inches
Answer:
table:
.1, .25, .35, .2, .1
p(x=4) = .1
p(x<2) = .35
p(3≤x≤4)= .55
1.95, 1.12
Step-by-step explanation:
this is kind of hard to read, but i think i've got it
mean:
0*.1+1*.25+2*.35+3*.2+4*.1= 1.95
The second moment:
0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05
the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean
5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12

Here's the explanation ~
Zeros or roots of a function is the value of independent variable (usually x - coordinate or absicca) where the value of dependent variable (y - coordinate or ordinate) is 0.
That is :
The point where it cuts the x - axis, it has an x - coordinate = -6
Therefore, we can conclude that The zero of given function is -6