📚 CBSE Grade-10 Study Guide
Home › Mathematics — Standard (041)

Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § Chapter Opening and Epigraph § 14.1 Probability — A Theoretical Approach
A card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is either a ten or a king is
  1. (A) $\frac{1}{26}$
  2. (B) $\frac{2}{13}$
  3. (C) $\frac{1}{13}$
  4. (D) $\frac{8}{26}$
Previously asked in CBSE board exam
2026 30/5/1 Q11
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

(B) $\dfrac{2}{13}$

There are 4 tens and 4 kings in a deck, giving 8 favourable outcomes.
$$P(\text{ten or king}) = \frac{8}{52} = \frac{2}{13}$$

Source: Chapter 14, Section 14.1

Explanation

A standard deck has 13 cards per suit × 4 suits = 52 cards. There are exactly 4 tens and 4 kings (one of each suit), so 8 favourable outcomes in total. Simplify 8/52 by dividing by 4 to get 2/13. Option (D) shows 8/26 which is not fully simplified and is not a standard answer choice.

If a question refers to an image, map, graph or diagram that is not shown here, find the actual CBSE question paper on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.