Statistics and Probability Answers

In a single throw of a fair die, what is the probability that an odd number or a perfect square greater than one shows up?

a. 0.6667
b. 0.5556
c. 0.75
d. 1

consider the composition of a 3-child family in which the children were born at different times but a girl is as likely as a boy at each birth What is the probability that the oldest child and the youngest child are of the same gender?

a. 0.25
b. 0.5
c. 0.375
d. 0.75

Twenty raffle tickets numbered 1 to 20 and one is drawn at random What is the probability that the number shown on the ticket is an odd number or a prime number?

a. 0.4
b. 0.55
c. 0.9
d. 0.5

Three cards are drawn randomly from a deck of cards one after the other with replacement each time. Find the probability that the three cards are a 5, a heart and a king.

a. 0.0156
b. 0.125
c. 0.0015
a. 0.0192

The probability that? Tope passes an exam is 1/3 and probabilities that his brother and. sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam

a. 0.3333
b. 0.25
c. 0.375
d. 0.4

1. When a coin is tossed. 5 times, how ma.ny possib.le outc.omes a.re expected to be listed in the sample space?

a. 32
b. 8
c. 64
d. 16

A random sample of 25 Tide powder showed a mean content of 237 mg with a variance
of 8.56 mg , while a sample of 20 Ariel powder detergent showed a mean content of 240
mg with a variance of 9.75 mg. Using a .05 level, is there a difference in the mean
content of the two brands of powder detergent?
Use: Step-wise method (Take note that clf is (25+20)-2=43.

Consider a marshmallow box containing 13 white, 5 orange, and 10 blue marshmallows.

1. We pick randomly one piece. What is the probability that we get
1. A blue marshmallow
2. A white marshmallow 3. An orang marshmallow


2. We pick 2 marshmallows. What is the probability that we get

1.2 marshmallows of the same color
2. at least one red marshmallow

A QCM contains 10 questions, the student has to choose only one correct answer from 3 possible answers. How many different responses can we get?

Suppose 70% of a population was vaccinated against the coronavirus, of which 4/5 (56% of all population) have been infected, and 30% did not get the vaccine, of which 1/3 (10% of all population) have been infected.

1. What is the probability that a randomly selected person has been infected?

2. What is the probability that a randomly selected person is infected given that he is vaccinated?

3. What is the probability that a randomly selected person is infected given that he is not vaccinated?

4. Is the vaccine efficient?