AI generatedProbabilityCourse skill

Finding at least one success using a complement

Finding at least one success using a complement.

  • 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

There are 3 independent trials, each with success probability . Find .

Multiply the failure probabilities.The complement of at least one is none.

Example 2

There are 4 independent trials, each with success probability . Find .

Multiply the failure probabilities.The complement of at least one is none.

Your turn

Question 1

There are 5 independent trials, each with success probability . Find .

Check answer
Multiply the failure probabilities.The complement of at least one is none.
Question 2

There are 3 independent trials, each with success probability . Find .

Check answer
Multiply the failure probabilities.The complement of at least one is none.
Question 3

There are 4 independent trials, each with success probability . Find .

Check answer
Multiply the failure probabilities.The complement of at least one is none.
Question 4

There are 5 independent trials, each with success probability . Find .

Check answer
Multiply the failure probabilities.The complement of at least one is none.
Question 5

There are 3 independent trials, each with success probability . Find .

Check answer
Multiply the failure probabilities.The complement of at least one is none.
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