Probability - 1 - JEE MCQ

# Probability - 1 - JEE MCQ

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## 30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Probability - 1

Probability - 1 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Probability - 1 questions and answers have been prepared according to the JEE exam syllabus.The Probability - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Probability - 1 below.
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Probability - 1 - Question 1

### If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved- [AIEEE 2002]

Detailed Solution for Probability - 1 - Question 1

Probability - 1 - Question 2

### Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is- [AIEEE 2003]

Detailed Solution for Probability - 1 - Question 2

Let H1H2H3H4 B be the horses in which B is the winning horse.
Required probability

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Probability - 1 - Question 3

### Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is -[AIEEE-2005]

Detailed Solution for Probability - 1 - Question 3

Any person can apply for any house.
Required probability

Probability - 1 - Question 4

In a binomial distribution   f the probability of at least one success is greater than or equal to 9/10, then n is greater than :

[AIEEE 2009]

Detailed Solution for Probability - 1 - Question 4

Probability - 1 - Question 5

Three numbers are chosen at random without replacement from {1, 2, 3, ....8}. The probability that their minimum is 3, given that their maximum is 6, is :

[AIEEE 2012]

Detailed Solution for Probability - 1 - Question 5

Let A be the event that minimum is 3 and let B be the event that their maximum is 6

Probability - 1 - Question 6

Consider the system of equations ax + by = 0, cx + dy = 0, where a, b, c, d ∈ {0, 1}

Statement-1 : The probability that the system of equations has a unique solution is 3/8.

Statement-2 : The probability that the system of equations has a solution is 1.

Detailed Solution for Probability - 1 - Question 6

Favourable number fo caes is 6 (either ad = 1, bc =0 or ad = 0, bc =1). The probability that system of equation has unique solution is 6/16 = 3/8. Since x = 0 satisfies both the equations, the system has at least one solution.

Probability - 1 - Question 7

A fair dice is tossed eight times. Probability that on the eighth throw a third six is observed is -

Detailed Solution for Probability - 1 - Question 7

Probability - 1 - Question 8

The last three digits of a telephone number beginning with 135 _ _ _ have been erased. The probability that the erased digits will be all identical is -

Detailed Solution for Probability - 1 - Question 8

Probability - 1 - Question 9

In a class of 125 students 70 passed in Mathematics, 55 in Statistics and 30 in both. The probability that a student selected at random from the class has passed in only one subject is -

Detailed Solution for Probability - 1 - Question 9

Probability - 1 - Question 10

A, B, C in order cut a pack of cards replacing them after each cut, on the condition that the first who cuts a spade shall win the prize. Then the probability of B to win the prize is-

Detailed Solution for Probability - 1 - Question 10

Probability - 1 - Question 11

A box contains 5 radio tubes of which 2 are defective. The tubes are tested one after the other until the 2 defective tubes are discovered. The probability that the process stopped on the third test, is

Detailed Solution for Probability - 1 - Question 11

Probability - 1 - Question 12

There are 4 white and 4 black balls in a bag and 3 balls are drawn at random. If balls of same colour are identical, the probability that none of them is black, is-

Detailed Solution for Probability - 1 - Question 12

Probability - 1 - Question 13

A quadratic equation is chosen from the set of all the quadratic equations which are unchanged by squaring their roots. The chance that the chosen equation has equal roots is :

Probability - 1 - Question 14

A jar contains 2 yellow candies, 4 red candies, and 6 blue candies. Candies are randomly drawn out of the jar one-by-one and eaten. The probability that the 2 yellow candies will be eaten before any of the red candies are eaten, is

Detailed Solution for Probability - 1 - Question 14

Probability - 1 - Question 15

If a, b and c are three numbers (not necessarily different) chosen randomly and with replacement from the set {1, 2, 3, 4, 5}, the probability that (ab + c) is even, is

Detailed Solution for Probability - 1 - Question 15

Probability - 1 - Question 16

A can hit a target 4 times in 5 shots, B three times in 4 shots and C twice in 3 shots. They fire a target if exactly two of them hit the target then the chance that it is C who has missed is

Detailed Solution for Probability - 1 - Question 16

Probability - 1 - Question 17

India play two matches each with West Indies and Australia. In any match the probabilities of India getting 0, 1 and 2 points are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points, is -

Detailed Solution for Probability - 1 - Question 17

Probability - 1 - Question 18

A letter is known to have come from either

TATANAGAR or CALCUTTA. On the

envelope, just two consecutive letters TA are

visible . The probability that the letter has come

from CALCUTTA is

Detailed Solution for Probability - 1 - Question 18

Probability - 1 - Question 19

Mr. Dupont is a professional wine taster. When given a French wine, he will identify it with probability 0.9 correctly as French, and will mistake it for a Californian wine with probability 0.1. When given a Californian wine, he will identify it with probability 0.8 correctly as Californian, and will mistake it for a French wine with probability 0.2. Suppose that Mr. Dupont is given ten unlabelled glasses of wine,  three with French and seven with Californian wines. He randomly picks a glass, tries the wine, and solemnly says : "French". The probability that the wine he tasted was Californian, is nearly equal to

Detailed Solution for Probability - 1 - Question 19

Probability - 1 - Question 20

Suppose a and b are single-digit positive integers chosen independently and at random. The probability that the point (a, b) lies above the parabola y = ax2 – bx, is

Detailed Solution for Probability - 1 - Question 20

Probability - 1 - Question 21

Detailed Solution for Probability - 1 - Question 21

Probability - 1 - Question 22

A hunter fires a shot at an elk from a distance of 100m, and hits it with a probability of 0.5. If he does not hit it on the first shot, he fires a second shot from a distance of 150m. If he does not hit the elk in this case, he fires the third shot from a distance of 200m. If the probability of a hit is inversely proportional to the square of the distance, then the probability of hitting the elk can be expressed in lowest rational as m/n. Find (m + n).

Detailed Solution for Probability - 1 - Question 22

Probability - 1 - Question 23

When a missile is fired from a ship, the probability that it is intercepted is 1/3. The probability that the missile hits the target, given that it is not intercepted is 3/4. If three missiles are fired independently from the ship, the probability that all three hits the target, is

Detailed Solution for Probability - 1 - Question 23

Probability - 1 - Question 24

A number is picked up at random from the number {1, 2,.........1000}. The probability that the number is of the form mn (m, n > 1) is

Detailed Solution for Probability - 1 - Question 24

Probability - 1 - Question 25

A card is drawn & replaced in an ordinary pack of 52 playing cards. Minimum number of times must a card be drawn so that there is atleast an even chance of drawing a heart, is

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Probability - 1 - Question 26

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Probability - 1 - Question 27

A die is rolled three times. Let E1 denotes the event of getting a number larger than the previous number each time and E2 denotes the event that the numbers (in order) form an increasing AP then

Detailed Solution for Probability - 1 - Question 27

Probability - 1 - Question 28

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Probability - 1 - Question 29

The chance that the vowels are separated in an arrangement of the letters of the word “HORROR” is :

Detailed Solution for Probability - 1 - Question 29

Probability - 1 - Question 30

A dice is rolled three times, the probability of getting a large number than the previous number each time is

Detailed Solution for Probability - 1 - Question 30

## Mathematics (Maths) for JEE Main & Advanced

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## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests