<h3>
Answer: Choice D) -$22</h3>
You'll lose on average $22 per roll.
====================================================
Explanation:
Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.
Let's define two events
- A = event of landing on "1".
- B = event of landing on anything else (2 through 6).
So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.
The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.
To recap things so far, we have the following:
- P(A) = 0.40
- P(B) = 0.60
- V(A) = -100
- V(B) = 30
Multiply the corresponding probability and net value items together
- P(A)*V(A) = 0.40*(-100) = -40
- P(B)*V(B) = 0.60*30 = 18
Then add up those products:
-40+18 = -22
This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.
This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.
Answer:
x < 4
So the dot on the graph would be an open dot and the number line would be shaded to the left.
Step-by-step explanation:
I do not see a number line, but
x < 4
So the dot on the graph would be an open dot and the number line would be shaded to the left.
He needs to fence the entire perimeter, so all you have to do is find the perimeter. P= S+S+S+S, which is 125, 200, 125, and 200. Add them together and you get 650, so he needs 650 feet of fence.
Answer:
(1, 7)
Step-by-step explanation:
Substitute x = 1 into the equation for the corresponding value of y
y = 2x + 5 = (2 × 1) + 5 = 2 + 5 = 7
Solution is (1, 7)
Answer:
(c)- 4/13
Step-by-step explanation:
There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades
each set has 1 seven each, so 4 sevens total.
Also, each type of card has 13 different cards in it
so, your answer is 4/13
