Square root of 0.0645 divided by 0.0082
2 answers:
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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.
Option C: 1 is the simplification of the expression
Explanation:
The given expression is
We need to simplify the given expression.
<u>Simplification:</u>
To simplify the given expression, let us apply the exponent rule, where
Thus, the the exponent rule means that any value (except zero) to the power of zero is equal to one.
Thus, the expression becomes,
Therefore, the simplified expression is 1
Hence, Option C is the correct answer.