Simplified it would be 1 1/33
Answer:
-$2.63
Step-by-step explanation:
Calculation for the expected profit for one spin of the roulette wheel with this bet
Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.
Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.
Now let find the Expected profit using this formula
Expected profit = sum(probability*value) -sum(probability*value)
Let plug in the formula
Expected profit =($1,750 * 1/38) - ($50 * 37/38)
Expected profit=($1,750*0.026315)-($50×0.973684)
Expected profit= 46.05 - 48.68
Expected profit = - $2.63
Therefore the expected profit for one spin of the roulette wheel with this bet will be -$2.63
Answer:
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either they hit the target, or they do not. The probability of a shot hitting the target is independent of any other shot, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Each arrow with a probability 0.2
This means that
First 10 arrows
This means that
What is the probability that at most one of her first 10 arrows hits the target?
This is:
So
Then
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Answer:
A.43.0
Step-by-step explanation:
area of rectangle= l*w=10 units *20 units= 200 units^2
area of the 2 circles:
diameter= 20/2=10 units
r=d/2= 10/2=5 units
area of a circle= 3.14*r^2
=3.14*5*5
=78.5> the 2 circles are identical then they have the same area
area of the shaded region= area of the rectangle- 2*area of one circle
= 200- (2*78.5)
=200-157
=43.0
therefore the area of the shaded region is 43.0 units^2