Binomial distribution

What you'll learn

1. 1

   Imagine flipping a coin 🪙 — it can land on Heads or Tails. Each flip is a trial, and we call Heads a 'success' and Tails a 'failure'.

2. 2

   If we flip a coin 5 times, what is the number of trials?

3. 3

   Here's a tree diagram 🌳 for 2 coin flips. Each branch shows Heads (H) or Tails (T). The probability of each path is 0.5 × 0.5 = 0.25.

4. 4

   Let's find the probability of getting exactly 2 Heads in 3 coin flips. 🧮

5. 5

   Drag the sliders to set up a Binomial experiment: n = 4 trials, p = 0.3. Then see the probability of getting 1 success.

6. 6

   In a Binomial distribution with n = 4 and p = 0.3, what does p = 0.3 mean?

7. 7

   For n = 3 and p = 0.5, what is P(X = 0) — the probability of zero Heads?