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Chapter 7: Q. 2 (page 461)

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

Number of heads01234
Probability0.0625
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 (d) None of these

Short Answer

Expert verified

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

Step by step solution

01

Given information

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

Number of heads1
2
3
4
5
Probability0.0625
0.2500
0.3750
0.2500
0.9375
02

Explanation

Because the probability distribution provides you with the number of heads, you can figure out how many tails there are by performing4-(number of heads)

After that, you must add the probability of the tails together

Add P(0)+P(1)+P(2)+P(3), the possibility of having at least one tail

.0625+.2500+.3750+.25=.9375

The correct option is (d).

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