Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
-Tails on all but one dime
A) 204811
B) 12
C) 2048915
D) 11332048

Question

Quizplus · Accepted Answer

The probability of getting tails on all but one dime out of eleven dimes can be calculated using combinations. The number of ways to choose 1 dime to be heads (and the rest tails) out of 11 is simply 11 choose 1, which is 11. The total number of outcomes when tossing 11 dimes is 2^11 (since each dime has 2 possible outcomes: heads or tails). Therefore, the probability is 11/(2^11) = 11/2048. The numerator matches choice A, indicating a misunderstanding in the interpretation of the choices provided. The correct calculation should provide a probability value, not a raw count or ratio, so the explanation here corrects the approach but the initial interpretation of the choices as probabilities was mistaken.

Eleven Dimes Dated 1989 Through 1999 Are Tossed