ncertmate
Open navigation menu
Class 10
Subjects
Mathematics Science Social Science Civics Social Science Economics Social Science Geography Social Science History
Search
NCERT solutions

Probability

All 6 textbook questions with direct answer previews. Open any question for simple explanations and exam-ready answers.

Back to chapter hub Important Questions

All questions

6
Q1

Define theoretical probability of an event.

If all outcomes are equally likely, P(E)=number of outcomes favourable to Enumber of all possible outcomesP(E)=\frac{\text{number of outcomes favourable to }E}{\text{number of all possible outcomes}}.
Show Answer
Q2

Find the probability of getting a head when a fair coin is tossed once.

A fair coin has two equally likely outcomes: H and T. Favourable outcome for head is 1. So P(H)=12P(H)=\frac12.
Show Answer
Q3

A fair die is thrown once. Find the probability of getting an even number.

Outcomes are 1,2,3,4,5,61,2,3,4,5,6. Even outcomes are 2,4,62,4,6, so probability =36=12=\frac36=\frac12.
Show Answer
Q4

What are the minimum and maximum possible values of probability?

For any event EE, 0≤P(E)≤10\le P(E)\le1. Impossible event has probability 00 and sure event has probability 11.
Show Answer
Q5

State and use the complement rule. If P(E)=35P(E)=\frac35, find P(not E)P(\text{not }E).

The complement rule is P(E)+P(E‾)=1P(E)+P(\overline E)=1. So P(E‾)=1−35=25P(\overline E)=1-\frac35=\frac25.
Show Answer
Q6

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king.

There are 4 kings in a deck of 52 cards. Probability =452=113=\frac4{52}=\frac1{13}.
Show Answer

Other Chapters