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what is the probability that there is at 7/8 least one head? The event that there are no heads is E = {TTT}. The probability that there is at least one head is 1- p(E) = 1- (1/8) = 7/8. 7/8 Check Show answer 2) If a fair coin is flipped ten times, what is the probability that there is at least one head? (Hint: The number of outcomes is 210 = 1024.) Incorrect What is the probability that none of the flips come up heads? Check Show answer 3) In a roll of a blue and a red die, what is the probability that the sum of the Incorrect If E is the event that the sum is greater than 10 (which is the same as being at least 11), then E is the event that numbers is at most 10? the sum is at most 10.

what is the probability that there is at 7/8 least one head? The event that there are no heads is E = {TTT}. The probability that there is at least one head is 1- p(E) = 1- (1/8) = 7/8. 7/8 Check Show answer 2) If a fair coin is flipped ten times, what is the probability that there is at least one head? (Hint: The number of outcomes is 210 = 1024.) Incorrect What is the probability that none of the flips come up heads? Check Show answer 3) In a roll of a blue and a red die, what is the probability that the sum of the Incorrect If E is the event that the sum is greater than 10 (which is the same as being at least 11), then E is the event that numbers is at most 10? the sum is at most 10.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need assistance with problems 2-3.

**Participation Activity: 3.14.4: Determining probabilities of events via the complement** Express answer as an integer or a fraction in lowest terms (e.g., 3/4, not 9/12) --- 1) **If a fair coin is flipped three times, what is the probability that there is at least one head?** - **Input Answer:** 7/8 - **Feedback:** Correct - **Explanation:** - The event that there are no heads is \( E = \{TTT\} \). - The probability that there is at least one head is \( 1 - p(E) = 1 - (1/8) = 7/8 \). --- 2) **If a fair coin is flipped ten times, what is the probability that there is at least one head? (Hint: The number of outcomes is \( 2^{10} = 1024 \).)** - **Input Field** (empty) - **Feedback:** Incorrect - **Prompt:** What is the probability that none of the flips come up heads? --- 3) **In a roll of a blue and a red die, what is the probability that the sum of the numbers is at most 10?** - **Input Field** (empty) - **Feedback:** Incorrect - **Explanation:** - If \( E \) is the event that the sum is greater than 10 (which is the same as being at least 11), then \( E \) is the event that the sum is at most 10.
Transcribed Image Text:**Participation Activity: 3.14.4: Determining probabilities of events via the complement** Express answer as an integer or a fraction in lowest terms (e.g., 3/4, not 9/12) --- 1) **If a fair coin is flipped three times, what is the probability that there is at least one head?** - **Input Answer:** 7/8 - **Feedback:** Correct - **Explanation:** - The event that there are no heads is \( E = \{TTT\} \). - The probability that there is at least one head is \( 1 - p(E) = 1 - (1/8) = 7/8 \). --- 2) **If a fair coin is flipped ten times, what is the probability that there is at least one head? (Hint: The number of outcomes is \( 2^{10} = 1024 \).)** - **Input Field** (empty) - **Feedback:** Incorrect - **Prompt:** What is the probability that none of the flips come up heads? --- 3) **In a roll of a blue and a red die, what is the probability that the sum of the numbers is at most 10?** - **Input Field** (empty) - **Feedback:** Incorrect - **Explanation:** - If \( E \) is the event that the sum is greater than 10 (which is the same as being at least 11), then \( E \) is the event that the sum is at most 10.
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