One card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card drawn
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding rag
Model Answer
Total number of cards = 52
(i) There is only 1 queen of hearts in a deck.
$$P(\text{queen of hearts}) = \frac{1}{52}$$
(ii) There are 4 jacks in a deck, so cards that are not jacks = 52 − 4 = 48.
$$P(\text{not a jack}) = \frac{48}{52} = \frac{12}{13}$$
Source: Chapter 14 – Probability, Section 14.1
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Explanation
- For (i), queen of hearts is a single, specific card → favourable outcomes = 1.
- For (ii), use the complement: P(not a jack) = 1 − P(jack) = 1 − 4/52 = 48/52 = 12/13. Always simplify the fraction. Examiners expect the formula, substitution, and simplified answer for each part.