Question

The probability distribution for the number of heads in four tosses of a coin is given by

Number of heads	0	1	2	3	4
Probability	0.0625	0.2500	0.3750	0.2500	0.0625

The probability of getting at least one tail in four tosses of a coin is

a. 0.2500

b. 0.3125

c. 0.6875

d. 0.9375

e. 0.0625

Short answer

(d) The probability of getting at least one tail in four tosses of a coin is 0.9375

Step-by-step solution

Given Information

The number of heads in four tosses of a coin is given by number of heads are 0,1,2,3,4

The probability are 0.0625 ,0.2500 , 0.3750, 0.2500 , 0.0625

Explanation for correct option

For the four coin tosses, they all have at least one tails event.

Implies that,

$\begin{array}{l}=\mathrm{P}\left(0\right)+\mathrm{P}\left(1\right)+\mathrm{P}\left(2\right)+\mathrm{P}\left(3\right)\\ 0.0625+0.2500+0.3750+0.2500\\ =0.9375\end{array}$

In four coin flips, the likelihood of receiving at least one tail is 0.9375

Explanation for incorrect option 

a. The probability of getting at least one tail in four tosses of a coin will not match with 0.2500

b. The probability of getting at least one tail in four tosses of a coin will not match with 0.3125

c. The probability of getting at least one tail in four tosses of a coin will not match with 0.6875

e. The probability of getting at least one tail in four tosses of a coin will not match with 0.0625