The expression would be 4x-30
x = number
the product of 4 and that number, 4*x or 4x.
30 less than that, 4x - 30.
What is the probability of the complement of event A?
A. 1/6
B. 1/3
C. 2/3
D. none of the above
Answer:
C) 2/3
Step-by-step explanation:
Given: { 15, 16, 17, 18, 19, 20} = 6
Event A is represents the number picked is less than or equal to 16.
Favorable outcomes = { 15, 16} = 2
Probability = The number of favorable outcomes/ The total number of possible outcomes.
Here the total number of outcomes = 6 and the number of favorable outcomes = 2
The probability of getting less than or equal to 16 P(A) = 2/6
Now we have to find the probability of complement event A.
P(A') = 1 - P(A)
= 1- 2/6
= (6 - 2)/6
= 4/6
When we simplify, we get 2/3
Therefore, the probability of complement of event A, P(A') = 2/3
Answer: C) 2/3
Hope this will helpful.
Thank you.
The probability of the complement of event A is 0, thus D. none of the above
The event A represents the numbers that are less than or equal to 16.
To find the probability of the complement of event A, we need to find the numbers that are greater than 16.
The set {15, 16, 17, 18, 19, 20} has 6 numbers and the set A has 9 numbers.
Therefore, the complement of event A has 6 - 9 = -3 numbers.
Since the number of elements in a set cannot be negative, the probability of the complement of event A is 0.
Therefore, the correct answer is D. none of the above.
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