Question
Three cards are drawn one after another with
replacements from a standard deck of 52 cards. What is the probability of getting the first card a Queen, the second card a black card, and the third card a face card?Solution
In case of replacement- probability of Queen = 4/52 =1/13 probability of black card =26/52=1/2 probability of face card - There are 12 face cards (4 Jacks, 4 Queens, 4 Kings) in a deck of 52 cards. =12/52=3/13 =1/13 ×1/2 × 3/13 =3/338
An iron pillar consists of two parts: one in the shape of a right circular cylinder and the other in the shape of a right circular cone. The radius of b...
- Find the area of a square whose perimeter is 60 cm.
A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between the interest at the e...
- Compute the diameter of the incircle of a triangle where the semi-perimeter is 30 cm and the area is 90 cm².
The volume of a cube is 27 cm³. If the cost of painting the cube is Rs. 25 per cm², then find the cost of painting five faces of the cube.
The radius of a cone matches the radius of a circle with an area of 1386 cm². The slant height of the cone is twice the length o...
Mr. Shiva invested equal amount of money in two private firms which gives 15% simple interest per annum for 3.5 years and 5 years respectively. If the d...
The total surface area of a square-based right pyramid is 1536 m², of which 37.5% is the area of the base of the pyramid. What is the volume (in mᶟ) ...
Measure of each interior angle of a regular polygon can never be?
A cone is cut parallel to its base in 3 parts in such a way that the height of each part is same. Find the ratio of volume of these parts?
Relevant for Exams:
