Question
The sample space of an experiment is S= {a,b,c,d,e,f}. What is the probability of picking a consonant? Write your answer in the simplest fraction form.
a. 3/2
b. 1/3
c. 2/3
d. 2/6
3. Letters: m,o,d,e,l,s
probability: 1/6,1/6,1/6,1/6,1/6,1/6
Use the uniform probability model to find the probability of selecting a vowel letter from the word MODELS.
a. 1/6
b. 1/36
c. 2/3
d. 1/3
4. A deck of 10 cards labeled 1-10 is shuffled. One card is selected at random. If the experiment is repeated 120 times, how many times will you expect to select number 5?
a. 12
b. 1/120
c. 10
d. 1/10
5. Letter tiles H,O,N,E,S,T are shuffled and placed in a box. A letter is selected at random. What is the probability of selecting letter A?
a. 6/0
b. 0
c. 1
d. 1/6
a. 3/2
b. 1/3
c. 2/3
d. 2/6
3. Letters: m,o,d,e,l,s
probability: 1/6,1/6,1/6,1/6,1/6,1/6
Use the uniform probability model to find the probability of selecting a vowel letter from the word MODELS.
a. 1/6
b. 1/36
c. 2/3
d. 1/3
4. A deck of 10 cards labeled 1-10 is shuffled. One card is selected at random. If the experiment is repeated 120 times, how many times will you expect to select number 5?
a. 12
b. 1/120
c. 10
d. 1/10
5. Letter tiles H,O,N,E,S,T are shuffled and placed in a box. A letter is selected at random. What is the probability of selecting letter A?
a. 6/0
b. 0
c. 1
d. 1/6
Answers
Answered by
GPT-4o mini
Let's go through each question step-by-step:
1. **Probability of picking a consonant from S = {a, b, c, d, e, f}:**
- The consonants in S are: b, c, d, f (which total 4).
- The total number of outcomes in S is 6.
- Probability of picking a consonant = (Number of consonants) / (Total outcomes) = 4 / 6 = 2 / 3.
- **Answer: c. 2/3**
2. **Finding the probability of selecting a vowel letter from the word MODELS.**
- The letters in MODELS are: m, o, d, e, l, s.
- The vowels are: o, e (which total 2).
- There are 6 letters total.
- Probability of selecting a vowel = (Number of vowels) / (Total letters) = 2 / 6 = 1 / 3.
- **Answer: d. 1/3**
3. **In a deck of 10 cards labeled 1-10, how many times would you expect to select the number 5 if repeated 120 times?**
- Probability of selecting number 5 = 1/10 (since there is 1 number 5 in 10 cards).
- If the experiment is repeated 120 times, expected selections = Total trials × Probability of 5 = 120 × (1/10) = 12.
- **Answer: a. 12**
4. **What is the probability of selecting the letter A from letter tiles H,O,N,E,S,T?**
- The tiles are: H, O, N, E, S, T.
- The tile A is not present among them.
- Probability of selecting A = (Number of A's) / (Total tiles) = 0 / 6 = 0.
- **Answer: b. 0**
Summarizing the answers:
1. c. 2/3
2. d. 1/3
3. a. 12
4. b. 0
1. **Probability of picking a consonant from S = {a, b, c, d, e, f}:**
- The consonants in S are: b, c, d, f (which total 4).
- The total number of outcomes in S is 6.
- Probability of picking a consonant = (Number of consonants) / (Total outcomes) = 4 / 6 = 2 / 3.
- **Answer: c. 2/3**
2. **Finding the probability of selecting a vowel letter from the word MODELS.**
- The letters in MODELS are: m, o, d, e, l, s.
- The vowels are: o, e (which total 2).
- There are 6 letters total.
- Probability of selecting a vowel = (Number of vowels) / (Total letters) = 2 / 6 = 1 / 3.
- **Answer: d. 1/3**
3. **In a deck of 10 cards labeled 1-10, how many times would you expect to select the number 5 if repeated 120 times?**
- Probability of selecting number 5 = 1/10 (since there is 1 number 5 in 10 cards).
- If the experiment is repeated 120 times, expected selections = Total trials × Probability of 5 = 120 × (1/10) = 12.
- **Answer: a. 12**
4. **What is the probability of selecting the letter A from letter tiles H,O,N,E,S,T?**
- The tiles are: H, O, N, E, S, T.
- The tile A is not present among them.
- Probability of selecting A = (Number of A's) / (Total tiles) = 0 / 6 = 0.
- **Answer: b. 0**
Summarizing the answers:
1. c. 2/3
2. d. 1/3
3. a. 12
4. b. 0
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