Math Olympiad Test: Probability- 1 - Class 10 MCQ

# Math Olympiad Test: Probability- 1 - Class 10 MCQ

Test Description

## 10 Questions MCQ Test Olympiad Preparation for Class 10 - Math Olympiad Test: Probability- 1

Math Olympiad Test: Probability- 1 for Class 10 2024 is part of Olympiad Preparation for Class 10 preparation. The Math Olympiad Test: Probability- 1 questions and answers have been prepared according to the Class 10 exam syllabus.The Math Olympiad Test: Probability- 1 MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Math Olympiad Test: Probability- 1 below.
 1 Crore+ students have signed up on EduRev. Have you?
Math Olympiad Test: Probability- 1 - Question 1

### A card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is neither a king nor a queen?

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 1

P (getting neither a king nor a queen)
= 1 - P (getting a king or a queen)

Math Olympiad Test: Probability- 1 - Question 2

### What is the probability of getting 53 Tuesday in a leap year?

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 2

In a leap year there are 366 days
We have, 366 days =52 weeks and 2 days.
Thus, a leap year will have 52 Tuesdays.
The remaining 2 days can be
(i) Sunday and Monday
(ii) Monday and Tuesday
(iii) Tuesday and Wednesday
(iv) Wednesday and Thursday
(v) Thursday and Friday
(vi) Friday and Saturday
(vii) Saturday and Sunday
Total number of possible cases =7
Total number of favourable cases =2
Hence, required probability = 2/7

Math Olympiad Test: Probability- 1 - Question 3

### There are 25 cards numbered from 1 to 25. One card is drawn at random. What is the probability that the number on this card is not divisible by 4?

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 3

1, 2, 3, . . . . 35
The numbers which are divisible by 4. 4, 8, 12, 16, 20, 24
P (Number divisible by 4) = 6/25
P (Number not divisible by 4) =

Math Olympiad Test: Probability- 1 - Question 4

A bag contains tickets marked with numbers 179, 180, 172, 127, 115, 115, 122, 143, 175, 222, 232, 162, 112, 132, 192, 182, 174, 132, 32, 131. A ticket is drawn at random. Find the probability that the ticket drawn has an even digit at 10’s place.

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 4

Total no. of tickets = 20
Let E = The ticket drawn has an even digit at 10’s place
E = 180, 127, 122, 143, 222, 162, 182,
P(E) = 7/20

Math Olympiad Test: Probability- 1 - Question 5

A lot of 24 bulbs contains 25% defective. A bulb is drawn at random from the lot. It is found to be not defective and it is not put back. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 5

Total no. of bulbs = 24
No. of defective bulbs = 25% of 24

Now a bulb is drawn at random from the 10%. It is found to be not defective and it is not put back. Now one bulb is drawn at random from the rest. Hence the probability that this bulb is not defective = 17/23

Math Olympiad Test: Probability- 1 - Question 6

A box contains 5 red marbles, 7 black marbles and 3 white marbles. One marble is taken out from the box at random what is the probability that the marble taken out will be black or white?

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 6

No. of possible outcomes = 5 + 7 + 3 = 15
Probability of black marble = 7/15
Probability of white marble = 3/15
Probability that the marble taken out will be black or white =

Math Olympiad Test: Probability- 1 - Question 7

A bag contains 6 red balls, 8 white balls, 5 green balls and 3 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is not white.

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 7

Total no. of balls = 6 + 8 + 5 + 3 = 22 Probability that ball drawn is not white

Math Olympiad Test: Probability- 1 - Question 8

Find the probability of getting 52 sunday in a leap year.

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 8

In a leap year, there are 366 days.
There are 52 weeks and 2 days.
There are 52 Sundays.
There may be five possibilities of being not a Sunday, which are (Monday, Tuesday) (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday).
Probability for 52 Sunday = 5/7

Math Olympiad Test: Probability- 1 - Question 9

A bag contains 5 red balls and some black balls. If the probability of drawing a black ball from the bag is twice that of a red ball. Find the number of black balls in the bag.

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 9

Let the no. of black balls = x
Total no. of balls = x + 5
Probability of drawing a black ball =
Probability of drawing a red ball =
According to question,

Math Olympiad Test: Probability- 1 - Question 10

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is a non ace.

Detailed Solution for Math Olympiad Test: Probability- 1 - Question 10

Total no. of outcomes = 52
No. of ace cards = 4
No. of Non ace cards = 52 - 4 = 48
P (getting a non-ace card) = 48/52 = 12/13

## Olympiad Preparation for Class 10

11 videos|36 docs|201 tests
In this test you can find the Exam questions for Math Olympiad Test: Probability- 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Math Olympiad Test: Probability- 1, EduRev gives you an ample number of Online tests for practice

### Up next

 Test | 15 ques
 Test | 10 ques
 Test | 10 ques

## Olympiad Preparation for Class 10

11 videos|36 docs|201 tests

### Up next

 Test | 15 ques
 Test | 10 ques
 Test | 10 ques