Probability “At Least One”

Lesson

 

Notes

“At least one”
\(\hspace{10pt}1-p(0)\)

 

Sample Problems

\(\small{\textbf{1)}}\) If you flip a coin 5 times, find the probability of getting at least one tail.
\(\small{\textbf{2)}}\) If you roll a die 8 times, find the probability of getting at least one 6.
\(\small{\textbf{3)}}\) You have a deck of cards. You choose 20 cards. What is the probability of getting at least 1 ace card?
\(\small{\textbf{4)}}\) A multiple-choice quiz has 5 questions with 4 answer choices each. What is the probability of guessing and getting at least one correct?
\(\small{\textbf{5)}}\) A light bulb has a 2% chance of failing on any given day. What is the probability it fails at least once in 50 days?
\(\small{\textbf{6)}}\) You randomly select 3 digits from 0–9 (with replacement). What is the probability of getting at least one 7?
\(\small{\textbf{7)}}\) A basketball player has a 70% free-throw success rate. If they shoot 4 times, what’s the probability of making at least one shot?
\(\small{\textbf{8)}}\) A security system detects intrusions with 95% accuracy. If there are 3 intrusion attempts, what’s the probability that at least one is detected?

 

See Related Pages\(\)

\(\bullet\text{ Statistics Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Complement of an Event}\)
\(\,\,\,\,\,\,\,\,\)

 

In Summary

Finding the probability of “At Least One” has a convenient shortcut. You can always subtract 100% – Probability of 0.

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