Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
-At least one head
A) 10231024
B) 20472048
C) 102487
D) 204887

Question

Quizplus · Accepted Answer

The probability of getting at least one head when tossing eleven dimes can be found by subtracting the probability of getting no heads (all tails) from 1. The probability of getting tails in a single toss is 1/2, so for eleven tosses, it's (1/2)^11. Thus, the probability of at least one head is 1 - (1/2)^11 = 1 - 1/2048 = 2047/2048. The correct answer is the one that matches this fraction when multiplied by a common denominator to make it easier to compare, which is option B) 2047/2048.

Eleven Dimes Dated 1989 Through 1999 Are Tossed