The diameter splits the circle into 2 equal halves by going through the midpoint of the circle. The two halves are called semicircles.
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution 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.
Random voting:
So 50% of voting yes, 50% no, so 
15 members:
This means that 
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

In which



So

0.006% probability that the final vote count is unanimous.
It would be 48/64 this is done by finding how many times 4 fits in 64 (64/4) then multiplying 3 by that answer
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) =
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) =
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) =
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability =
probability = 0.2517
Answer:
Option A. 0.6 is the right answer.
Step-by-step explanation:
Given information is:
Mean = $240
SD = $60
The probability of Dan making less than $255 has to be found.
Let x = 255
First of all, we will find the z-score of the given value

Now the z-score table will be used to see the probability of less than 0.25
Using the z-score table, we get:
P(x<0.25) = 0.5987
As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point
0.5987 => 0.6
Hence,
Option A. 0.6 is the right answer.