Probability of at least one success
Probability of at least one success.
- At each split, the outgoing probabilities sum to 1.
- Multiply along a route; add mutually exclusive routes that meet the question.
- Without replacement, update the counts and total for the second draw.
Example 1
A bag contains 2 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Example 2
A bag contains 3 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Your turn
A bag contains 4 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Check answer
A bag contains 5 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Check answer
A bag contains 6 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Check answer
A bag contains 7 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Check answer
A bag contains 8 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Check answer
A bag contains 4 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
AnswerA bag contains 5 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
AnswerA bag contains 6 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
AnswerA bag contains 7 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
AnswerA bag contains 8 red and 3 blue counters. Two counters are drawn with replacement, mixing between draws. Find the probability of at least one red.
Answer