Saved Bookmarks
| 1. |
n whole numbers are randomly chosen and multiplied. Now, match the following lists.{:("List I","List II"),("a. The probability that the last digit is 1, 3, 7, or 9 is","p. "(8^(n)-4^(n))/(10^(n))),("b. The probability that the last digit is 2, 4,6, 8 is ","q. "(5^(n) - 4^(n))/(10^(n))),("c. The probability that the last digit is 5 is","r. " (4^(n))/(10^(n))),("d. The probability that the last digit is zero is","s. "(10^(n) - 8^(n) - 5^(n) + 4^(n))/(10^(n))):} |
|
Answer» `{:("a","b","C","d"),("q","s","s","R"):}` b. The required probability is EQUAL to the probability that the last digit is 2, 4, 6, 8 and is given by P(last digit is 1, 2, 3, 4, 6, 7, 8, 9) -P (last digit is 1, 3, 7, 9) = `(8^(n) - 4^(n))/(10^(n))` c. P(1, 3, 5, 7, 9) - P(1, 3, 7, 9) = `(5^(n) - 4^(n))/(10^(n))` d. The required probability is `P(0, 5) - P(5) = ((10^(n) - 8^(n))-(5^(n) - 4^(n)))/(10^(n))` `P(0, 5) - P(5) = ((10^(n) - 8^(n))-(5^(n) - 4^(n)))/(10^(n))` |
|