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

Number of heads
01234
Probability
0.06250.2500
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

Expert verified

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

Step by step solution

01

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

02

Explanation for correct option

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

Implies that,

=P0+P1+P2+P30.0625+0.2500+0.3750+0.2500=0.9375

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

03

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

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