Answer:



Step-by-step explanation:
Number of Men, n(M)=24
Number of Women, n(W)=3
Total Sample, n(S)=24+3=27
Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>
(a)Probability that both appointees are men.

(b)Probability that one man and one woman are appointed.
To find the probability that one man and one woman are appointed, this could happen in two ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
P(One man and one woman are appointed)

(c)Probability that at least one woman is appointed.
The probability that at least one woman is appointed can occur in three ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
- Two women are appointed
P(at least one woman is appointed)

In Part B, 
Therefore:

Answer:
a^2 - 25
Step-by-step explanation:
5(a-5) turns into 5a - 25
a(a-5) turns into a^2 - 5a
added together, it's a^2 - 25
The probability that a student, chosen at random, does not study chemistry is 20/41.
<h3>
What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Here, Total number of student = 41
Student who does not study chemistry = 20
So, the probability = favorable outcome / total outcomes
P(not studying chemistry) = 20 / 41
Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.
Learn more about Probability from:
brainly.com/question/11234923
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Answer:
19
Step-by-step explanation:
by replacing x and y with their given values ,
we get :-
=》2x + 7y - 10
=》(2 × 4) + (7 × 3) - 10
=》8 + 21 - 10
=》29 - 10
=》19