Probability Model

A box contains green marbles and blue marbles. Yosef shakes the box and chooses a marble at random. He records the​ color, then places the marble back into the box. Yosef repeats the process until he chooses 50 marbles. The table shows the count for each color. P(Blue) = ?

• 36%

• 28%

• 72%

• 14%

A survey asked 600 people for their favorite genre of book. The table shows the data. How many people surveyed responded with a genre other than one of those​ listed? Find the probabilities for a complete probability model for the responses.

• 270

• 168

• 132

• 315

A survey asked 600 people for their favorite genre of book. The table shows the data. P(Romance) = ?

• 30.6%

• 22%

• 28.5%

• 25%

A 7th grade class rolls a number cube 50 times. The number cube has sides labeled 1 through 6. The table shows the results. Find the experimental probability for​ "roll a number greater than 4​."

• 60%

• 20%

• 40%

• 80%

What is the P(greater than 2)?

• 12.5%

• 25%

• 75%

• 87.5%

Sandra spins the pointer of a spinner. The spinner has four equal sections labeled 1 to 4. What is the probability that the pointer will land on a number less than 5?

• Impossible

• Unlikely

• Equally Likely

• Likely

• Certain

Use the following table to find the expected value.

• E(X) = $50

• E(X) = $75

• E(X) = $10

• E(X) = $62.50

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

• $1

• $0.50

• -$0.50

• $0

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you take home (after paying for it)? HINT: set up a probability model.

• $800

• -$6.50

• -$6

• -$5.20

A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much? HINT: set up a probability model.

• lose an average of $5.50

• lose an average of $1.50

• win an average of $2.00

• lose an average of $10.00