Complete question :
Suppose someone gives you 8 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $8 if you succeed and you lose $2 if you fail. What is the expected value of this game to you? What can you expect if you play 100 times.
Answer:
$0.5 ; win $50 with 100 rolls
Step-by-step explanation:
From a roll of two fair dice; probability of obtaining an even number :
Even numbers = (2, 4, 6) = 3
P = 3 /6 = 1 /2
For 2 fair dice ; probability of rolling two even numbers : independent event.
1/2 * 1/2 = 1/4
Hence, p(success) = 1/4 ; P(failure) = 1 - 1/4 = 3/4
Probability table
Winning = $8 or loss = - $2
X : ____ 8 ______ - 2
P(x) __ 1/4 ______ 3/4
Expected value : E(x) = ΣX*P(x)
E(x) = (8 * 1/4) + (-2 * 3/4)
E(x) = 2 - 1.5
E(x) = $0.5
Since expected value is positive, the expect to win
If played 100 times;
Expected value = 100 * $0.5 = $50
Answer:
1. 500
2. 126
3. 615
Step-by-step explanation:
Area of a parallelogram formula: A = bh
20 x 25 = 500
7 x 18 = 126
20.5 x 30 = 615
Answer:
6.1 seconds
Step-by-step explanation:
<u><em>The correct question is</em></u>
A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= √h/4 to find how many seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second
we have

substitute the value of h in the formula


The answer is 1.
( x = 50)
Answer:
b- 13 weeks
Step-by-step explanation:
She makes $550 a week but spends $200 on merchandise so her total weekly is technically $350 in order to earn profit she has to get more than $4500
divide $4500 by $350 which you will get 12.6 but you round it to 13 meaning it would take her a maximum of 13 weeks to receive profit