The term probability refers to the measurement of the degree of certainty concerning the event's occurrence. And the operation that produces the set outcomes is considered as the term experiment.
To get the probability there is a set formula that we have to apply and after which we will get our required answer.
Event’s probability
The probability of an event refers to the number of outcomes of the favourable items to the total number of possible outcomes.
The probability range only lies from 0-1. As it is always less than 1.
P (E) = Number of favourable outcomes / Total number of possible outcomes.
Possible outcomes
When we toss a coin then its possible outcomes are only head and tail.
(H, H)
(H, T)
(T, H)
(T, T)
Outcome and event
The term outcome refers to the random results of an experiment.
Like rolling a dice, and we get six. Then six is the rolling outcome.
The term event refers to the total set of the outcomes.
Like When we do the rolling of a dice then the probability of achieving a number is less than 5. Then it is considered as an event.
Impossible event
The event in which there are no chances of occurring.
Like (P) = 0.
WATCH AND LEARN
Class 10 Probability learning videos
Work through Probability with these lessons.
LEARN BY DOING
Free Probability Olympiad Questions for Class 10
5 questions to build confidence. Choose an answer, then explore the explanation.
01
At what values of the domain is the function f(x)= x-2 less than the function represented in the graph?
Show answer & explanation
The answer key for this sample question is not available yet.
02
Given a 12-sided die, with the numbers 1 through 12 on the sides, what is the probability that a prime number is rolled, given that the roll is a factor of 60? Choose the answer that correctly represents this.
Show answer & explanation
The answer key for this sample question is not available yet.
03
2^3=8 is equivalent to which of the following?
Show answer & explanation
The answer key for this sample question is not available yet.
04
Kate bought some mangoes from the store. She also bought some other groceries. If her total bill came to $22, and she knows that she bought about 3 lb of mangoes, which of the following would be needed to know how much the mangoes cost per pound?
Show answer & explanation
Answer: A. The cost of her other groceries.
To find mango cost per pound, you need to subtract the other groceries from the total bill.
05
There are two dependent events, A and B. The probability of event A occurring, given that event B occurs, is 0.66. The probability that events A and B occur is 0.55. Find P(A) and P(B) to two decimal places.
Show answer & explanation
Answer: A. P(A) = 0.83, P(B) = 0.66
P(A|B)=P(A and B)/P(B)=0.66, so P(A and B)=0.66P(B)=0.55, giving P(B)=0.83 and P(A)=0.55/0.66≈0.83.