Response:
The probability that a student has a pet, given they do not have any siblings is:
Option: D ( 60%)
Step-by-step breakdown:
Let A represent the situation where a student lacks a sibling.
Let B signify the occurrence that a student has a pet.
Consequently, A∩B refers to the event in which a student is without siblings but possesses a pet.
Let P denote the chance of an event happening.
We need to determine:
P(B|A)
From our knowledge:
From the data provided:
P(A)=0.25
and P(A∩B)=0.15
Thus,
which expressed as a percentage is:
Therefore, the probability is:
60%
5400000, since the 7 rounds the 8 up to 4.
Response:
The correct choice is option C
The proportion of green marbles to red marbles is 3: 1
Step-by-step breakdown:
According to the problem statement:
A bag holds 44 marbles, comprising both red and green ones.
⇒Total marbles = 44
If it includes 11 red marbles.
Then;
Green marbles = Total marbles - red marbles.
By substituting the values provided,
Green marbles = 44 - 11 = 33
We are tasked with determining the ratio of green marbles to red marbles.
Consequently, the ratio of green to red marbles is 3: 1
Answer:
Wouldn't it be 10 out of 26, which is 2.6?
Step-by-step explanation:
There are 10 letters in "County Fair" and a total of 26 letters available, so you divide 26 by 10.
The expected value is calculated by subtracting the expected cost from the anticipated income.
The expected cost is fixed at $5.
The anticipated income arises from the probability associated with each outcome multiplied by its respective reward.
=> For the first prize: probability * prize = (1 / 100) * $ 100 = $1
=> For the second prize: probability * prize = (5 / 100) * $20 = $1
Thus, the expected value comes out to $1 + $1 - $5
This gives us an expected value of - $3
Final answer: - $ 3
