GRE GMAT TESTs AND SOLUTIONs

A new word is to be formed by randomly rearranging the letters of the word ALGEBRA. What is the probability that the new word has consonants occupying only the positions currently occupied by consonants in the word ALGEBRA? (A) 2/120 (B) 1/24 (C) 1/6 (D) 2/105 (E) 1/35

On average, a sharpshooter hits the target once in every 3 shots. What is the probability that he will not hit the target until the 4th shot? (A) 1 (B) 8/81 (C) 16/81 (D) 65/81 (E) 71/81

On average, a sharpshooter hits the target once every 3 shots. What is the probability that he will hit the target in 4 shots? (A) 1 (B) 1/81 (C) 1/3 (D) 65/81 (E) 71/81