Answer:
5
Step-by-step explanation:
33p is separated into 3p and 2p
4 more 2p than 3p
5 3 points
9 2 points
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
We need to find the probability of the event:
having blue eyes or blond hair
This event is the union of the events:
A: having blue eyes.
B: having blond hair.
So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
We know that the probability of the intersection of A and B (having both) is
P(A ∩ B) = 24%
Also:
P(A) = 43%
P(B) = 46%
Then, using those values into the above formula, we find:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 43% + 46% - 24%
P(A ∪ B) = (43 + 46 - 24)%
P(A ∪ B) = 65%
8 am at 0
8:18 at 4.5
8:48 at 7.5 miles ???
18 min = .3 hour
48 min = .8 hour
in first .3 hours speed = 4.5/.3 = 15 mph
in next .5 hours = speed = 3/.5 = 6 mph
average speed for the whole trip = 7.5 miles/.8 hours = 9.375 mph
Step-by-step explanation:
x -0.1x = x(1-0.1) = 0.9x
