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
A sum of money becomes ₹5,600 in 4 years and ₹6,400 in 8 years at simple interest. Find the rate of interest per annum.
If 'x' is a positive integer such that x + 1/x = 2, then find the value of (x3 + x2 − 2x – 6)/(4x4 + 2x2
The weights (in kg) of 11 students are:
40, 45, 47, 50, 52, 52, 55, 55, 55, 60, 65
Find:
(a) the mean weight,
(b) the median weight,
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B,...
155, 161, 173, 191, ?, 245
240.11% of 145.09 – 169.912% of 159.89 + 13.12 × √402 = ?
A car travels from City A to City B, which is 240 km apart. It travels the first 120 km at a speed of 60 km/h and the remaining distance at a speed of 8...
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