1. Mrs. Rivas P(next shot) = 13 24 ≈0.54, 𝑜𝑟 𝟓𝟒%
1. A basketball player attempted 24 shots and made 13. Find the experimental probability that the player will make the next shot she attempts.
P(next shot) = ≈0.54, 𝑜𝑟 𝟓𝟒%

2. Mrs. Rivas P(steal a base) = 47 70 ≈0.67, 𝑜𝑟 𝟔𝟕%
2. A baseball player attempted to steal a base 70 times and was successful 47 times. Find the experimental probability that the player will be successful on his next attempt to steal a base.
P(steal a base) = ≈0.67, 𝑜𝑟 𝟔𝟕%

3. Mrs. Rivas P(card is a 2) = 1 5 ≈0.20, 𝑜𝑟 𝟐𝟎%
A group of five cards are numbered 1–5. You choose one card at random. Find each theoretical probability.
3. P(card is a 2)
P(card is a 2) = 1 5 ≈0.20, 𝑜𝑟 𝟐𝟎%

4. Mrs. Rivas P(even number) = 2 5 ≈0.40, 𝑜𝑟 𝟒𝟎%
A group of five cards are numbered 1–5. You choose one card at random. Find each theoretical probability.
4. P(even number)
P(even number) = 2 5 ≈0.40, 𝑜𝑟 𝟒𝟎%

5. Mrs. Rivas P(prime number) = 3 5 ≈0.60, 𝑜𝑟 𝟔𝟎%
A group of five cards are numbered 1–5. You choose one card at random. Find each theoretical probability.
5. P(prime number)
P(prime number) = 3 5 ≈0.60, 𝑜𝑟 𝟔𝟎%

6. Mrs. Rivas P(less than 5) = 4 5 ≈0.80, 𝑜𝑟 𝟖𝟎%
A group of five cards are numbered 1–5. You choose one card at random. Find each theoretical probability.
6. P(less than 5)
P(less than 5) = 4 5 ≈0.80, 𝑜𝑟 𝟖𝟎%

7. Mrs. Rivas P(black pen) = 35 90 ≈0.39, 𝑜𝑟 𝟑𝟗% 7. P(black pen)
A bucket contains 15 blue pens, 35 black pens, and 40 red pens. You pick one pen at random. Find each theoretical probability.
7. P(black pen)
P(black pen) = ≈0.39, 𝑜𝑟 𝟑𝟗%

8. Mrs. Rivas P(blue pen or red pen) = 15+40 90 = 55 90 ≈0.61, 𝑜𝑟 𝟔𝟏%
A bucket contains 15 blue pens, 35 black pens, and 40 red pens. You pick one pen at random. Find each theoretical probability.
8. P(blue pen or red pen)
P(blue pen or red pen) = = ≈0.61, 𝑜𝑟 𝟔𝟏%

9. Mrs. Rivas P(not a blue pen) = 35+40 90 = 75 90 ≈0.83, 𝑜𝑟 𝟖𝟑%
A bucket contains 15 blue pens, 35 black pens, and 40 red pens. You pick one pen at random. Find each theoretical probability.
9. P(not a blue pen)
P(not a blue pen) = = ≈0.83, 𝑜𝑟 𝟖𝟑%

10. Mrs. Rivas
A bucket contains 15 blue pens, 35 black pens, and 40 red pens. You pick one pen at random. Find each theoretical probability.
10. P(black pen or not a red pen)
P(black pen or not a red pen) = = ≈0.56, 𝑜𝑟 𝟓𝟔%

11. Mrs. Rivas P(greater than 4) = 2 6 = 1 3 ≈0. 3 , 𝑜𝑟 𝟑𝟑.𝟑%
11. Your classmate rolls a fair number cube. What is the theoretical probability that she will roll a number greater than 4?
P(greater than 4) = 2 6 = 1 3 ≈0. 3 , 𝑜𝑟 𝟑𝟑.𝟑%

12. Mrs. Rivas
The rectangular yard shown below has a circular pool and a triangular garden. A ball from an adjacent golf course lands at a random point within the yard. Find each theoretical probability.
12. The ball lands in the pool.
𝑨𝒓𝒆𝒂 𝒐𝒇 𝑪𝒊𝒓𝒄𝒍𝒆 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒉𝒆 𝒆𝒏𝒕𝒊𝒓𝒆 𝒇𝒊𝒈𝒖𝒓𝒆
= 𝝅 𝒓 𝟐 𝒍∙𝒘
= 𝝅 (𝟏𝟐) 𝟐 𝟏𝟎𝟎∙𝟓𝟎
= 𝟒𝟓𝟐.𝟑𝟖𝟗𝟑 𝟓𝟎𝟎𝟎
≈𝟎.𝟎𝟗𝟎𝟒
≈𝟗%

13. Mrs. Rivas
The rectangular yard shown below has a circular pool and a triangular garden. A ball from an adjacent golf course lands at a random point within the yard. Find each theoretical probability.
13. The ball lands in the garden.
𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒓𝒊𝒂𝒏𝒈𝒍𝒆 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒉𝒆 𝒆𝒏𝒕𝒊𝒓𝒆 𝒇𝒊𝒈𝒖𝒓𝒆
= 𝟏 𝟐 𝒃𝒉 𝒍∙𝒘
= 𝟎.𝟓(𝟔)(𝟖) 𝟏𝟎𝟎∙𝟓𝟎
= 𝟐𝟒 𝟓𝟎𝟎𝟎
=𝟎.𝟎𝟎𝟒𝟖
≈𝟎.𝟓%

14. Mrs. Rivas
The rectangular yard shown below has a circular pool and a triangular garden. A ball from an adjacent golf course lands at a random point within the yard. Find each theoretical probability.
14. The ball lands in the garden or the pool.
𝑨𝒓𝒆𝒂 𝒐𝒇 𝑪𝒊𝒓𝒄𝒍𝒆+𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒓𝒊𝒂𝒏𝒈𝒍𝒆 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒉𝒆 𝒆𝒏𝒕𝒊𝒓𝒆 𝒇𝒊𝒈𝒖𝒓𝒆
= 𝝅 (𝟏𝟐) 𝟐 +𝟎.𝟓(𝟔)(𝟖) 𝟏𝟎𝟎∙𝟓𝟎
= 𝟒𝟓𝟐.𝟑𝟖𝟗𝟑+𝟐𝟒 𝟓𝟎𝟎𝟎
= 𝟒𝟕𝟔.𝟑𝟖𝟗𝟑 𝟓𝟎𝟎𝟎
= 𝟒𝟕𝟔.𝟑𝟖𝟗𝟑 𝟓𝟎𝟎𝟎
=𝟎.𝟎𝟗𝟓𝟐𝟕
≈𝟗.𝟓%

15. Mrs. Rivas
The rectangular yard shown below has a circular pool and a triangular garden. A ball from an adjacent golf course lands at a random point within the yard. Find each theoretical probability.
15. The ball does not land in the pool.
𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒉𝒆 𝒆𝒏𝒕𝒊𝒓𝒆 𝒇𝒊𝒈𝒖𝒓𝒆−𝑨𝒓𝒆𝒂 𝒐𝒇 𝑪𝒊𝒓𝒄𝒍𝒆 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒕𝒉𝒆 𝒆𝒏𝒕𝒊𝒓𝒆 𝒇𝒊𝒈𝒖𝒓𝒆
= 𝟏𝟎𝟎∙𝟓𝟎−𝝅 (𝟏𝟐) 𝟐 𝟏𝟎𝟎∙𝟓𝟎
= 𝟓𝟎𝟎𝟎−𝟒𝟓𝟐.𝟑𝟖𝟗𝟑 𝟓𝟎𝟎𝟎
= 𝟒𝟓𝟒𝟕.𝟔𝟏𝟎𝟕 𝟓𝟎𝟎𝟎
=𝟎.𝟗𝟎𝟗𝟓
≈𝟗𝟏%

16. Mrs. Rivas
Five people each flip a coin one time. Find each theoretical probability.
16. P (5 heads)
= 1 2 ∙ 1 2 ∙ 1 2 ∙ 1 2 ∙ 1 2 = 1 32
=𝟎.𝟎𝟑𝟏𝟐𝟓
≈𝟑%

17. Mrs. Rivas P(exactly 2 tails) = 1 32 ∙5 𝐶 2 = 1 32 ∙10≈0.3125, 𝑜𝑟 𝟑𝟏%
Five people each flip a coin one time. Find each theoretical probability.
17. P (exactly 2 tails)
P(exactly 2 tails) = 1 32 ∙5 𝐶 2 = 1 32 ∙10≈0.3125, 𝑜𝑟 𝟑𝟏%

18. Mrs. Rivas (3𝐻,2𝑇)+(4𝐻, 1𝑇)+(5𝐻,0𝑇) 32 5 𝐶 3 +5 𝐶 4 +5 𝐶 5 32
Five people each flip a coin one time. Find each theoretical probability.
18. P (at least 3 heads)
(3𝐻,2𝑇)+(4𝐻, 1𝑇)+(5𝐻,0𝑇) 32
5 𝐶 3 +5 𝐶 4 +5 𝐶 5 32
16 32
=0.5
≈𝟓𝟎%

19. Mrs. Rivas 3𝑇,2𝐻 + 2𝑇,3𝐻 + 1𝑇,4𝐻 +(0T,5H) 32
Five people each flip a coin one time. Find each theoretical probability.
19. P(less than 4 tails)
3𝑇,2𝐻 + 2𝑇,3𝐻 + 1𝑇,4𝐻 +(0T,5H) 32
5 𝐶 3 +5 𝐶 2 +5 𝐶 1 +5 𝐶 0 32
26 32
=0.8125
≈𝟖𝟏%

20. Mrs. Rivas
20.The spinner shown at the right has four equal-sized sections. Suppose you spin the spinner two times.
a. What is the sample space.
𝟏, 𝟏 ,
𝟏, 𝟐 ,
𝟏, 𝟑 ,
𝟏, 𝟒 ,
𝟐, 𝟏 ,
𝟐, 𝟐 ,
𝟐, 𝟑 ,
𝟐, 𝟒 ,
𝟑, 𝟏 ,
𝟑, 𝟐 ,
𝟑, 𝟑 ,
𝟑, 𝟒 ,
𝟒, 𝟏 ,
𝟒, 𝟐 ,
𝟒, 𝟑 ,
𝟒, 𝟒 ,
b. How many outcomes are there? 𝟏𝟔
c. What is the theoretical probability of getting a sum of 4.
3 16
=0.1875
≈𝟏𝟗%

21. Mrs. Rivas 1 0 =𝑈𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑 𝟏 𝐨𝐫 𝟏𝟎𝟎%
21. If 𝑥 is a real number and 𝑥 = 0, what is the probability that 1 𝑥 is undefined?
1 0 =𝑈𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
𝟏 𝐨𝐫 𝟏𝟎𝟎%

22. Mrs. Rivas 1 #≠0 ≠𝑈𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑 𝟏 𝐨𝐫 𝟏𝟎𝟎%
22. If 𝑥 is a real number and 𝑥 ≠ 0, what is the probability that 1 𝑥 is undefined?
1 #≠0 ≠𝑈𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
𝟏 𝐨𝐫 𝟏𝟎𝟎%

23. Mrs. Rivas
23. Of the 195 students in the senior class, 104 study Spanish and 86 study French, with 12 studying both Spanish and French. What is the theoretical probability that a student chosen at random is studying Spanish, but not French?
P(Spanish, but not French) = 104− = ≈0.4717, 𝑜𝑟 𝟒𝟕%