Q81.The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7 , when the repetition of digits is not allowed, and which are not divisible by 3 , is equal to__________ JEE Main 2024 (08 Apr Shift 1) JEE Main Previous Year Paper
What This Question Tests
This question tests the ability to enumerate possible pairs of integers, identify the pair with the greatest product, determine outcomes satisfying a product condition, and calculate the probability.
Concepts Tested
Formulas Used
Probability = (Favorable Outcomes) / (Total Outcomes)
Combinations: nCr
š NCERT Sections This Tests
3.23 ā The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 Ć 10ā5Sā1
Chemistry Class 11 Ā· Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 Ć 10ā5sā1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
5.12 ā Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 Ā· Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
12.5 ā A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 Ā· Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
š Question Details
- Chapter
- Probability
- Topic
- Probability with combinations and greatest product
- Year
- 2024
- Shift
- 08 Apr Shift 1
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
More from this Chapter
Q90.One ticket is selected at random from 50 tickets numbered 00, 01, 02, ā¦ , 49. Then the probability that the sum of the digits on the selected ticket is 8 , given that the product of these digits is zero, equals (1) 1 (2) 1 14 7 (3) 5 (4) 1 14 50 JEE Main 2009 JEE Main Previous Year Paper
Q89.Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ā¦ . , 20} . Statement-1: The probability that the chosen numbers when arranged in some order will form an AP is 1 . Statement-2: If the 85 four chosen numbers from an AP, then the set of all possible values of common difference is {Ā±1, Ā±2, Ā±3, Ā±4, Ā±5}. (1) Statement-1 is true, Statement-2 is true; (2) Statement-1 is true, Statement-2 is false Statement-2 is not the correct explanation for Statement-1 (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
Q90.An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colour is (1) 2 (2) 1 7 21 (3) 2 (4) 1 23 3 JEE Main 2010 JEE Main Previous Year Paper
Q89.Consider 5 independent Bernoulli's trials each with probability of success p . If the probability of at least one failure is greater than or equal to 31 , then p lies in the interval 32 (1) ( 34 , 1112 ] (2) [0, 12 ] (3) ( 1112 , 1] (4) ( 12 , 34 ]