Stats Probability Quiz

A fair coin is to be flipped 5 times. The first 4 flips land "heads up". What is the probability of "heads" on the next (5th) flip of this coin?

• 1

• $\frac{1}{2}$

• $\left(\frac{1}{2}\right)^2\left(\frac{1}{2}\right)$

• 0

What is the correct statistical calculation for the concept of a probability happening at least once. P(at least 1):

• $1-P\left(not\right)$

• $P\left(A\cup B\right)$

• $P\left(A\cap B\right)$

• $1-P\left(A\right)$

Says that the long-run relative frequency of repeated independent events gets closer and closer to the true relative frequency as the number of trials increases.

• mutually exclusive

• law of large numbers

• complement

• law of due theory

A person has a 10 percent chance of winning the daily office lottery. What is the probability she first wins on the fourth day?

• $\left(.10\right)^2\left(.90\right)$

• $\left(.10\right)^3\left(.90\right)$

• $\left(.90\right)\left(.10\right)$

• $\left(.90\right)^3\left(.10\right)$

Which of the following events are dependent?

• Tossing a coin and selecting a card from a deck

• Tossing a coin then tossing a second coin

• Running a race and getting tired

• Drawing a card from a deck and replacing it, then drawing a second card.

Probabilities between what two numbers report the likelihood of an event's occurrence.

• 0-0.5

• 0-.75

• 0-1

• 0-0.25

Suppose that 30% of cars in your area are manufactured in the United States, 40% in Japan, 20% in Germany, and 10% in other countries. If cars are selected at random, find the probability that: A car is not made in Germany

• .20

• .30

• .40

• .80

Suppose that 30% of cars in your area are manufactured in the United States, 40% in Japan, 20% in Germany, and 10% in other countries. If cars are selected at random, find the probability that: You see three cars in a row from Germany

• .512

• .008

• .20

• .80

Suppose that 30% of cars in your area are manufactured in the United States, 40% in Japan, 20% in Germany, and 10% in other countries. If cars are selected at random, find the probability that: At least one of the two cars is made in the United States. (which shows the correct set up)

•  $\left(.70\right)^2$  

•  $.30+.30$  

•  $1-\left(.70\right)^2$  

•  $1-\left(.70\right)^3$  

The probabilities of a plastic arrow landing on a spinner for a child's game are as followed: red= .10, yellow=.20, green=.30, and red=.40. Is the following probability assignments possible?

• Yes

• No