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Solution: Here, the ‘one-club’ card has to be drawn from 13 club cards. So, its events = 13C1 And ‘one-diamond’ card has to be drawn from 13 diamond cards. So, its events = 13C1 So, concerned events = 13C1 × 13C1 Total events (as two cards are to be drawn from 52 cards) = 52C2 So, P(E) = 13C1 × 13C1 / 52C2 = 13/102
How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
If the sum of two positive numbers is 37 and the difference between these two numbers is 5, then what is the product of the two numbers?
When a number is increased by 20% then the number obtained is 36 less than thrice the original number. Find the original number.
The sum of the digits of a two-digit number is 9. If 27 is subtracted from the number, its digits switch their places. What is the number?
What is the standard deviation of a dataset if its variance is 17.64?
If {p2 + (2p2/5)} = 14p , p ≠ 0, then find the value of {p2 + (10/p) - 1}.
