Probability — Class 12 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 12 Mathematics chapter "Probability" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 12 Mathematics chapter "Probability" — 8 important questions with detailed answers for CBSE board exam pre…
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Key Questions Covered:
- Two dice are thrown simultaneously. Find the probability of getting a sum of 7.
- A card is drawn from a standard deck of 52 cards. Find the probability that i…
- In a class of 30 students, 18 study Mathematics, 12 study Physics, and 8 stud…
- + 5 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Two dice are thrown simultaneously. Find the probability … | ✓ Solved |
| A card is drawn from a standard deck of 52 cards. Find th… | ✓ Solved |
| In a class of 30 students, 18 study Mathematics, 12 study… | ✓ Solved |
Showing 3 of 8 questions
Q1: Two dice are thrown simultaneously. Find the probability of getting a sum of 7.
To find P(sum = 7):
Step 1: Find total possible outcomes.
When two dice are thrown: 6 × 6 = 36 outcomes
Step 2: Find favorable outcomes (sum = 7).
List all pairs (a, b) where a + b = 7:
(1, 6): 1 + 6 = 7
(2, 5): 2 + 5 = 7
(3, 4): 3 + 4 = 7
(4, 3): 4 + 3 = 7
(5, 2): 5 + 2 = 7
(6, 1): 6 + 1 = 7
Num...
Q2: A card is drawn from a standard deck of 52 cards. Find the probability that it is a red card or a king.
To find P(red card OR king):
Step 1: Identify the events.
Event A: Card is red
Event B: Card is a king
Step 2: Count favorable outcomes.
Red cards: 26 (13 hearts + 13 diamonds)
Kings: 4 (one in each suit)
Red kings: 2 (king of hearts and king of diamonds)
Step 3: Use inclusion-exclusion principle...
Q3: In a class of 30 students, 18 study Mathematics, 12 study Physics, and 8 study both. If a student is selected at random, find the probability that the student studies either Mathematics or Physics.
To find P(Mathematics OR Physics):
Step 1: Identify given information.
n(M) = 18 (students studying Mathematics)
n(P) = 12 (students studying Physics)
n(M ∩ P) = 8 (students studying both)
n(Total) = 30
Step 2: Use inclusion-exclusion principle.
n(M ∪ P) = n(M) + n(P) - n(M ∩ P)
= 18 + 12 - 8
= 22...
Showing 3 of 8 questions. Visit the full page for complete solutions.