In the diagram, how many circles are there for each square?
2 answers:
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Correct question with correct options has been attached
Answer:
37
Step-by-step explanation:
Let C represent those dressed as heroes and let B represent those wearing mask
Thus;
n(C) = 39
n(D) = 45
We are told that 21 entrants were dressed as heroes wearing a mask.
Thus; n(C n D) = 21
We are also told that there were a total of 100 entries.
Thus, n(T) = 100
Now, number of entrants neither dressed as heroes nor wearing a mask is given by;
n(T) - n(C u D)
n(C u D) = n(C) + n(D) - n(C n D)
n(C u D) = 39 + 45 - 21
n(C u D) = 63
Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37
Answer:
a) 33.33% probability that the respondent is assigned to the guilty state.
b) 35.09% probability that the respondent chooses the stated option (repair the car).
c) 26.32% probability that the respondent is assigned to the guilty state and chooses the stated option.
d) 40.94% probability that the respondent is assigned to the guilty state or chooses the stated option.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes. We use this concept, along with the given table, to solve the question.
a. Find the probability that the respondent is assigned to the guilty state.
There were 171 participants, and 57 of those were assigned the guilty state. So this probability is
b. Find the probability that the respondent chooses the stated option (repair the car).
There were 171 participants, and 60 of those choose the stated option. So this probability is
c. Find the probability that the respondent is assigned to the guilty state and chooses the stated option.
There were 171 participants, and 45 of those were assigned to the guilty state and choose the stated option. So this probability is
d. Find the probability that the respondent is assigned to the guilty state or chooses the stated option.
Guilty state: 57
Anger or Neutral and stated option: 8 + 7 = 15
Total = 57 + 15 = 72