1. Abigail plays a game in which she spins a spinner over and over again. The spinner has 4 equally sized sections labeled 1 through 4. Spinning a 2 eight times means the game is over.

Abigail uses a uniform probability model to predict the number of times the spinner will be spun before the number 2 appears 8 times.

What is Abigail's prediction for the number of total spins before the number 2 appears 8 times?

32 spins

16 spins

8 spins

4 spins

2. A computer is used to generate passwords made up of numbers 0 through 9 and uppercase letters. The computer generates 500 passwords one character at a time.

A uniform probability model is used to predict the first character in the password.

What is the prediction for the number of passwords in which the first character is a number?

Round your answer to the nearest whole number.

69 passwords

139 passwords

192 passwords

292 passwords

3. Samuel uses a uniform probability model for an experiment using a deck of 30 cards. There are 6 blue cards, 6 red cards, 6 green cards, 6 yellow cards, and 6 brown cards in the deck. Cards will be drawn one at a time and then replaced in the deck before another card is drawn.

He uses the probability model to determine the probability of drawing a yellow card or a blue card.

What is P(yellow or blue)?

Enter your answer as a simplified fraction in the box.
Answer:

4. What is the difference between a uniform and a non-uniform probability model?

Select from the drop-down menus to correctly complete the statements.

In a Choose... A NON-UNIFORM B UNIFORM
probability model, the probability of each outcome occurring is the same. In a
Choose... A NON- UNIFORM B UNIFORM
probability model, the probability of each outcome occurring is not the same.

5. A box contains 5 red markers, 6 blue markers, and 5 yellow markers.

What is known about the probability model for this situation?

Select all correct answers.

The probability model for this situation is non-uniform.

The probability model for this situation is uniform.

The probabilities of the individual outcomes are not the same.

The probabilities of the individual outcomes are the same.

(PLS HELP ASAP)

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Part 1:

The option (A) is correct. The prediction of the event is 32 spins.

For the given situation,

Number of segments the spinner has n = {1,2,3,4}

The event is the number of times the spinner will be spun before the number 2 appears 8 times

In one spin there are four possibilities. So to get the number 2 appears 8 times it becomes [tex]4[/tex] × [tex]8[/tex] [tex]= 32[/tex]

Thus, the option (A) is correct. The prediction of the event is 32 spins.

Part 2:

Option (B) is correct. The probability of the event is 139 passwords.

For the given situation,

The password is generated by using numbers 0 through 9 and uppercase letters.

Numbers 0 to 9, total = 10 numbers

Uppercase letters = 26 letters

So, Total characters = [tex]10+26=36[/tex]

The event is the prediction for the number of passwords in which the first character is a number.

The probability of the event is given by [tex]\frac{10}{36}[/tex]

⇒[tex]0.27[/tex]

Total passwords generated = 500

The prediction for the number of passwords in which the first character is a number = [tex]0.27[/tex] × [tex]500[/tex]

⇒[tex]138.8[/tex] ≈ [tex]139[/tex]

Thus the probability of the event is 139 passwords. Option (B) is correct.

Part 3:

The P(yellow or blue) is 2/6.

For the given situation,

The deck has total number cards = 30 cards

Blue cards = 6 cards

Red cards = 6 cards

Yellow cards = 6 cards

Brown cards = 6 cards

The probability of drawing a yellow card or a blue card is

[tex]P(e)=P(yellow or blue)[/tex]

⇒[tex]P(e)= P(yellow) + P(blue)[/tex]

⇒[tex]P(e)= \frac{6}{30} + \frac{6}{30}[/tex]

⇒[tex]P(e)=\frac{12}{30}[/tex]

⇒[tex]P(e)= \frac{2}{6}[/tex]

Thus the P(yellow or blue) is 2/6.

Part 4:

From definition, Option (B) is correct.

For the given statements by definition,

UNIFORM probability is the probability model of each outcome occurring is the same.

A NON- UNIFORM probability is the probability model of each outcome occurring is not the same.

Thus from definition, Option (B) is correct.

Part 5:

Both options (A) and (C) are correct.

For the given situation,

Total number of markers = 16

Red markers = 5

Blue markers = 6

Yellow markers = 5

The number of markers are different for different colors.

So the given situation models the non-uniform probability, and the

individual outcomes are not the same.

Thus both options (A) and (C) are correct.

Link to know more about probability here

https://brainly.com/question/10207660