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Probability

· Examples

✏️ Worked Examples — Step by Step

Easy

A die is rolled once. What is the probability of getting an even number?

💡 Favourable outcomes / total outcomes.

👁 Show Solution

Even outcomes: {2, 4, 6} = 3 outcomes
Total outcomes = 6
P(even) = 3/6 = 1/2

✅ Answer: 1/2

✅1/2

Medium

Two fair coins are tossed together. What is the probability of getting both heads?

💡 Independent events: multiply individual probabilities.

👁 Show Solution

P(H on coin 1) = 1/2
P(H on coin 2) = 1/2
P(HH) = 1/2 × 1/2 = 1/4

✅ Answer: 1/4

✅1/4

Challenging

A card is drawn at random from a standard deck of 52. What is the probability that it is a red king?

💡 Count favourable cards / 52.

👁 Show Solution

Red kings: King of hearts + King of diamonds = 2 cards
P(red king) = 2/52 = 1/26

✅ Answer: 1/26

✅1/26

Examples