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Total number of pens = 6 + 5 + 4 = 15 Three pens are chosen at random. Then, n(S) = ¹⁵C₃ = (15 ×14 ×13 )/(3 ×2 ×1) = 130 Quantity I. n(E) = ⁶C₂ × ⁴C₁ = 15 × 4 = 60 P(E) = 60/130 = 6/13 Quantity II. n(E) = ⁶C₁ × ⁵C₁ × ⁴C₁ = 6 × 5 × 4 = 120 P(E) = 120/130 = 12/13 ∴ Quantity I < Quantity II.
9 litre of milk is taken out from a container and replaced by water. This process is repeated once more, the ratio of quantity in container (M: W) is 16...
Find the third proportion of 14 and 28.
A shopkeeper has 76 kg rice a part of it, he sells at the profit of 28% and rest at loss of 10% and he get the loss of 8% so what is the quantity sold a...
A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene, 8 litre are drawn off and then the vessel is filled with petrol. Re...
A vessel contains some milk .7 liter of the milk was taken out of the vessel and replaced with 7 liter of water and again 7 liter of mixture was taken o...
If sinA = 3/5 and cosB = 12/13, where A and B are in the first quadrant, find sin(A + B).
A vessel contains 50 liters of a solution with 40% acid. 10 liters of this solution are removed and replaced with a solution containing 70% acid. The pr...
A man sold one shirt and one t-shirt for Rs. 4000 on shirt he gained 21% and he lost 14% on t-shirt. If overall profit is 7%, then cost price of t-shirt is
If (x - 5)2 - (x + 5)2 = 0, then what is the value of 'x'?
The seller sold a total of 40 kg of rice bags, comprising Basmati Rice and Brown Rice. The cost price of Basmati rice is Rs.72/kg, and that of Brown ric...