Unit 9 Coach

There is a 50% chance of snow on Wednesday and a 50% chance of snow on Thursday. A simulation is conducted and the results of several trials will be observed. Snow on Wednesday is assumed to be independent of snow on Thursday. Which of these simulations can be used to model the probability there will be snow on both days? Select all that apply.

• Use a coin. Assign “snow” to an outcome of heads and “no snow” to an outcome of tails. Toss the coin twice and record the results to simulate the weather on two days.

• Use a spinner with 3 sections of equal size, one shaded and two unshaded. Assign “snow” to the shaded sections and “no snow” to the unshaded sections. Spin twice and record the results to simulate the weather on two days.

• Use a spinner with 4 sections of equal size, two shaded and two unshaded. Assign “snow” to the shaded sections and “no snow” to the unshaded sections. Spin twice and record the results to simulate the weather on two days.

• Use a number cube labeled 1–6. Assign “snow” to numbers 1, 2, and 3 on the cube. Assign “no snow” to numbers 4, 5, and 6 on the cube. Toss the cube twice and record the results to simulate the weather on two days.

• Use a number cube labeled 1–6. Assign “snow” to numbers 1 and 2 on the cube. Assign “no snow” to numbers 3, 4, 5, and 6 on the cube. Toss the cube twice and record the results to simulate the weather on two days.

Fiona has six different shirts (red, white, yellow, grey, purple, and green) and five pairs of pants (black, blue, grey, brown, and white). The table lists all of the possible outcomes, where the first color identifies a shirt and the second identifies a pair of pants. If she randomly selects a shirt and a pair of pants, what is the probability that they will be the same color?

Look at the pairs of events and select those that are dependent.

• Ana selects an apple from a bin; Bo selects an apple from the same bin.

• Han pulls a coin from a bag and returns it; Nate pulls a coin from the same bag.

• Erin pulls a tile from a box; Pat pulls a tile from a different box.

• Jake picks a drink from a cooler; Ky picks a drink from the same cooler.

• Cara takes a seat on a bus; Raoul takes a seat on the same bus.

Mabel will toss a coin three times. She draws a tree diagram to find the probability of getting two heads and one tail in any order. Select the outcomes in the sample space where a favorable outcome is shown.  Select all that apply.

• Outcome 1

• Outcome 2

• Outcome 3

• Outcome 4

• Outcome 5

Chase has a multi-pack of 12 granola bars that contains 3 flavors: chocolate chip, peanut butter, and s'mores. There are 4 of each flavor in the box. Chase is distributing the granola bars to his soccer team at random from this box. What is the probability that the first person will be given a peanut butter bar and the next person will also be given a peanut butter bar?

Jocelyn is preparing bags for a grab bag contest at a store. Each bag will contain one coupon and one small item. The table summarizes the number and contents of the bags for the contest. How many grab bags will be used in the contest?

(a)  

Jocelyn is preparing bags for a grab bag contest at a store. Each bag will contain one coupon and one small item. The table summarizes the number and contents of the bags for the contest. How many grab bags have a $10 coupon?

(a)  

Jocelyn is preparing bags for a grab bag contest at a store. Each bag will contain one coupon and one small item. The table summarizes the number and contents of the bags for the contest. What is the probability of getting a grab bag with a $10 coupon and a key chain? (Write as a fraction)

(a)  

• George is correct.  There are 9 possible sums for outcomes, and only one of those sums is 10.

• George is incorrect.  The correct probability is 1/10 which represents the one outcome that is a sum of 10 out of 10 possible spaces on the two spinners.

• George is incorrect.  He switched the numerator and denominator in the ratio and the correct probability should be 9. 

• George is incorrect.  He did not correctly find the total number of outcomes. There are 25 possible outcomes that result when the two spinners are spun, and only one of those outcomes give a sum of 10.  The correct probability is 1/25.

Carson's family breeds dogs. In the past, the litters have contained an average of 50% black puppies, 25% white puppies, and 25% spotted puppies. From the last litter of puppies they delivered, they got the following results:

2 black puppies

5 white puppies

1 spotted puppy  

Based on this information, select the true statements. Select all that apply.

• This litter of puppies represents the average litters from the past.

• This litter of puppies does not represent the average litters from the past.

• Based on the past average, 4 black puppies would be expected from this litter.

• Based on the past average, 4 white puppies would be expected from this litter.

• Based on the past average, the number of spotted puppies in this litter was expected.