Section 2.16 Theoretical Probability Day #2

Section 2.16: What are the Odds? Theoretical Probability Day

Multiple Choice

Which of the following statements is true.

• Probabilities must add to 1

• Probabilities must add to 100%

• Probabilities must add to 1.00

• All of the above are true

Multiple Select

Which of the following are equivalent probabilities? Select all that apply.

• 2/5

• 0.4

• 40%

• None of these are equivalent

Multiple Choice

You are going to roll a fair, six - sided, dice. What is the probability that you roll a two?

• 1/6

• 1/3

• 1/2

• None of these

​Theoretical Probability

• ​What SHOULD happen!

• ​If you have a bag of marbles filled with 4 yellow marbles, 5 green marbles and 6 red marbles, how many total marbles?

• ​What is the probability of selecting a green marble?

Fill in the Blanks

A fair, six - sided, die is tossed. Find the probability of rolling a number greater than 2. Round to a percent to one decimal place. The probability is

%.

Multiple Choice

Find the probability that a coin selected at random is a dime.

• 0.3

• 0.083

• 0.75

• 0.125

Complementary Events

If the probability of rolling a 5 on a six - sided dice is 1/6 then the probability of NOT rolling a 5 is 5/6. Together the values must add to 1.

Multiple Choice

If the probability of an event happening is 56% then the probability that it does not happen is

• 56%

• 44%

• 50%

• None of these

Fill in the Blanks

The probability that Lucia passes her statistics test is .47. This means that the probability that she fails her statistics test is

.

Multiple Choice

Find the probability that a coin selected at random is not a penny.

• 0.6

• 0.4

• 0.0625

• 0.5

Fill in the Blanks

According to a weather report, there is a 22% chance it will rain tomorrow. The probability that it will not rain tomorrow is

%.

Fill in the Blanks

In a certain weather forecast, the chances of a thunderstorm are stated as "4 in 19". Write this as a probability between 0 and 1. Round to three decimal places as needed.

Multiple Choice

If you were to pull and replace coins 16 times, how many times would you expect to pull a quarter?

• 28

• 1

• No times

• 16.75

Let's consider these...Recall the total number of marbles is 15 (add them together)

• There are 5 blue marbles so 5/15. This simplifies to 1/3

• There is 1 yellow marble so 1/15.

Let's consider these...Recall the total number of marbles is 15 (add them together)

• The probability that the marble chosen IS red is 6/15, so 2/5. That means the probability that it is NOT red must be 3/5; The probabilities must add to 1!

Let's consider these...Recall the total number of marbles is 15 (add them together)

• USE the probability that it is red (2/5) This is a proportion so 2/5 must equal x/100. We can expect to pull 40 red marbles.

Multiple Choice

Balls numbered 1 - 140 are placed in a box. One ball will be randomly drawn from the box. What is the probability that you draw an odd number?

• 30%

• 40%

• 50%

• 60%

Multiple Choice

Balls numbered 1 - 140 are placed in a box. One ball will be randomly drawn from the box. The probability of drawing a number larger than 60 is

• 10%

• 27%

• 57%

• 43%

Fill in the Blanks

Balls numbered 1 - 140 are placed in a box. The probability of drawing a negative number is

%.

Multiple Choice

Remember: Experimental Probability is WHAT DOES happen. You use experimental probability to make predictions.

Suppose there is a weekly raffle with 250 tickets sold each week. You play every week for a year (52 weeks) and buy one ticket each time. If you win only three times, what was your experimental probability of winning the weekly raffle?

• 6%

• 62.4%

• 1.2%

• NONE OF THESE