Use the following information for questions:
The probability distribution for X = number of heads in 4 tosses of a fair coin is partially given in the table below.
-What is the probability of getting at least one head?
A) 1/16
B) 4/16
C) 5/16
D) 15/16

Question

Use the following information for questions:
 The probability distribution for X = number of heads in 4 tosses of a fair coin is partially given in the table below. 
-What is the probability of getting at least one head?
A) 1/16 
B) 4/16 
C) 5/16 
D) 15/16

Quizplus · Accepted Answer

The probability of getting at least one head in a series of coin tosses is easier to calculate by finding the probability of the opposite event (getting no heads at all) and subtracting it from 1. Assuming the question implies 4 coin tosses (as suggested by the answer choices), the probability of getting no heads (all tails) in 4 tosses is (1/2)^4 = 1/16. Therefore, the probability of getting at least one head is 1 - 1/16 = 15/16.

Use the Following Information for Questions