Answer:
0.6316
Step-by-step explanation:
The computation of the probability that 2 people were excited without replacement is shown below:
There is a total of 20 people
out of which 16 are excited and the remaining 4 would be non-excited
Now the probability would be
= 0.6316
Remmeber that an octagon is a polygon formed by chain of 8 straight line segments.
The first valid name for a polygon of eight sides is octagon (from greek oktagonon, which means eight angles)
The second valid name for a polygon of eight sides is eight-sided polygon.
The third valid name of a polygon of eight sides is 8-gon. After 6 sides, mathematicians usually refer to these polygons as n-gons, so an eight-sided polygon will be an 8-gon.
We can conclude that the three valid names for an octagon are: octagon, eight-sided polygon, and 8-gon.
Total pedestrian deaths = 179
Total number of deaths that involved intoxicated
driver = 96 + 40 = 136
Two accidents are randomly selected without replacement,
thus;
Probability = desired outcome / total number of
outcome
<span>Probability = (136/179) x (135/178) = 0.7597x0.7584 =
0.5761</span>
Answer:
P(A U B)=P(A)+P(B)
Step-by-step explanation:
Reading the options that we have for the answer, one of them (the first one) is the definition of being independent. A and B are independent if and only if P(A ∩ B)=P(A)*P(B).
So the first one IS necessary true for independent events and with this equation, option two and three are necessary true for independent events:
For definition of P(A | B)
P(A | B)= P(A ∩ B) / P(B)
And we replace P(A ∩ B) using the first option that we know it´s true:
P(A | B)= P(A)*P(B) / P(B)= P(A)
So P(A | B)=P(A) it´s true for A and B independent.
The same process goes to show P(B | A)=P(B)
Because of this, the only one of the options that could not be true for independent events is P(A ∪ B)=P(A) + P(B), and this happens because P(A ∩ B)=P(A)*P(B) applies but it could be different from 0 considering P(A ∪ B)=P(A) + P(B) - P(A ∩ B). We conclude this property (P(A ∪ B)=P(A) + P(B)) is not necessary true for A and B independent.
Answer:
n(B) = 1350
Step-by-step explanation:
Using Venn sets, we have that:
Three values are given in the exercise.
The other is n(B), which we have to find. So
So
n(B) = 1350
