ncertmate
Open navigation menu
Class 10
Subjects
Mathematics Science Social Science Civics Social Science Economics Social Science Geography Social Science History
Search
Chapter 14

Probability

NCERT solutions and explanations for Class 10 Mathematics Chapter 14 Probability — covering Theoretical probability, equally likely outcomes, elementary events, and probability applications.

View all NCERT solutions Important Questions Report a mistake

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