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ProbabilityStatistics and probabilityMiddle schoolabout 0:40

An event has 13 favorable outcomes out of 52 equally likely outcomes. What is its probability?: animated lesson

A narrated, step-by-step probability video lesson with captions. Final answer: P(A) = 1/4 ≈ 0.25 (25%).

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
An event has 13 favorable outcomes out of 52 equally likely outcomes. What is its probability?
2. Step by step
1. $P(A) = \frac{13}{52} = \frac{1}{4} \approx 0.25$
  Divide favorable outcomes by total equally likely outcomes
2. $P(A') = 1 - P(A) = \frac{3}{4} \approx 0.75$
  Complement: the event does not happen
3. $13 : 39$
  Odds in favor
3. The answer
$P(A) = \frac{1}{4} \approx 0.25$
P(A) = 1/4 ≈ 0.25 (25%)

Transcript

The problem. Here is the problem: An event has 13 favorable outcomes out of 52 equally likely outcomes. What is its probability? Single event (favorable divided by total).

Step by step. Divide favorable outcomes by total equally likely outcomes. Complement: the event does not happen. Odds in favor.

The answer. So the answer is P(A) equals 1 over 4 approximately 0.25 (25 percent). The event occurs in 13 of 52 equally likely outcomes, so its probability is 25 percent; it fails with probability 75 percent.

About probability

Probability of single events, complements, independent events and binomial outcomes.

An event has 13 favorable outcomes out of 52 equally…