Example 1 · level 1
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is a black card. (answer as a fraction)
Show solution
- There are 26 black cards out of 52.
- P = 26/52 = 1/2.
Answer: 1/2
CLASS 10 MATHS · PROBABILITY
Probability with cards, dice and coins
P(E) = favourable outcomes ÷ total outcomes. A deck has 52 cards (4 suits of 13; 12 face cards). Two dice give 36 outcomes.
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Worked examples
Example 2 · level 2
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is the queen of hearts. (answer as a fraction)
Show solution
- There are only 1 queen of hearts out of 52.
- P = 1/52.
Answer: 1/52
Example 3 · level 3
Two dice are thrown together. Find the probability of getting the same number on both (a doublet). (answer as a fraction)
Show solution
- Doublets: (1,1), (2,2), …, (6,6) — 6 of the 36 outcomes.
- P = 6/36 = 1/6.
Answer: 1/6