Question
A card is drawn randomly from a deck of ordinary playing
cards. You win Rs.100 if the card is a spade or an ace. 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 an ace. We know the following: There are 52 cards in the deck. There are 13 spades, so P(S) = 13/52. There are 4 aces, so P(A) = 4/52. There is 1 ace 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
1 9 64 255 755 1835
...77 ? 190 257 331 412
...18, 25, 33, 42, 52, 63, ?
15, 65, 165, 315, ?, 765
1 6 13 24 41 ?
If  204    196       223   x  284
Then, what is the average of the numbers of the above series?
...22Â Â Â 23Â Â Â Â 32Â Â Â Â 57Â Â Â 106Â Â Â ?
4Â Â Â Â Â Â Â Â Â 5.5Â Â Â Â Â Â Â Â Â Â Â 19 .5Â Â Â Â Â Â Â Â Â Â Â Â Â 98.5Â Â Â Â Â Â Â Â Â Â Â Â Â Â 694Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6251.5...
620 632 608 644 596 ?
...36, 49, 23, 62, ?, 75
