13.1a pg. 842 #1-3

13.1 pg.843-848#2-26even

P842 #1-3

1) Answers vary for each class; Should be x/15

2) It should be the fraction with the smallest numerator since it has the smallest experimental probability

3) 0, because our experimental probability for getting both initials was 0/15. According to our simulation, this should NEVER happen.

2) Probability is successes/total while odds is the ratio of favored/not favored. Example: 1/5 chance of picking a boy compared to 1:4 odds of getting a boy.

4)First flip

Second Flip

{HH, HT, TH, TT}

6)

8) There are 3 multiples of 9 (9, 18, 27) on the spinner. It should be 3/10, not 2/10

10) Probability (Even Number) = # of Even Spins

6/10 -------------- 3/5

Total Spins

12) Probability (Less than 12) = 3/10

Odds = Favorable outcomes/ Unfavorable Outcomes 3/7 or 3: 7

14) D (Odds in favor/odds against are simply reversals)

5:8 ratio can also be expressed as 5/13 probability, meaning odds against are 8/13

16) There is a 40% chance of rainMeaning, 4/10 days will rainMEANING, for every 4 days of rain, thereare 6 days of non-rain.

4:6 odds in favor of rain. When we simplify, it becomes 2:3. B

18) “You randomly draw a marble from a bag containing white, red, and blue marbles. The odds against drawing a white marble are 47:3”

This means that for every 47 non-white marbles, there are 3 white marbles. This means, 3/50 are white.

a) There are 50 marbles in the bag. We are counting the marbles in groups of 50. Therefore, possible marble counts are 50, 100, 150 etc. Since there are less than 100, it must be there are 50

b) We know that besides white marbles, there are red and blue marbles. The probability of drawing a red marble is 50%. Since the marbles come in sets of 50, half of that is 25. We know there a total of 47 red and blue marbles.. So, if there are 25 red, 47-25 = 22. There are 22 blue marbles. Therefore, the probability is 22/50.

20)

a) There are 300 total females that were surveyed.

53/57/51 females said yes for each of the 3 age groups.

(53 + 57 + 51) / 300 161 / 300

B) There are 200 total 15 year olds that were surveyed.

51 and 67 said yes for each of the genders (51 + 67) / 200 118/ 200

B) There are 600 total people that were surveyed.

53/57/51/65/68/67 said yes(53+57+51+65+68+67) / 600 361/ 600

First, we must find out how many AV attempted. We will add the total attempts from each column.

20 + 11 + 3 = 34 total attempts.

Next, let’s find out how many he made total.

16 + 7 + 2 = 25 made

Therefore, the probability is made/total, 25/34

16/20 7/11 2/3

It’s easiest if we turn them into percents.

16/20 7/11 2/3

.8 .63 .67

0-7 points is the most likely since it has the highest percentage.

24) {ABC, ACB, BAC, BCA, CAB, CBA}There are 6 possible ways.

26)

According to the tree diagram, there are 6 different classes offered.