Question
A card is drawn randomly from a deck of ordinary playing
cards. You win Rs.900 if the card is a spade or a king. What is the probability that you will win the game?Solution
Let S = the event that the card is a spade; and let A = the event that the card is a King. We know the following: There are 52 cards in the deck. There are 13 spades, so P(S) = 13/52. There are 4 King, so P(A) = 4/52. There is 1 King that is also a spade, so P(S ∩ A) = 1/52. Therefore, based on the rule of addition: P(S ∪ A) = P(S) + P(A) - P(S ∩ A) P(S ∪ A) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13.
- What will come in place of (?), in the given number series.
1, 4, 9, 16, ?, 36 {(12√5 + 6√5 )} ×{(10√5 - 5√5 )} - 8² + 6² = ?
11          20          ?             64          112        192
...350 435 367 ? 384 401
...0, 6, 24, ?, 120, 210
21, 37, 73, 137, ?, 381
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
18, 34, 70, 134, ?, 378
120, 136, 111, 147, ?, 162
What will come in place of the question mark (?) in the following number series?
124, 131, 117, ?, 110, 145
