Chapter 13: Q54. (page 708)

Find each probability if a coin is tossed 4 times. (Lesson 12-8)
P(4 heads).

Short Answer

Expert verified

P(4 heads) = 0.0625.

Step by step solution

Step 1. Given

A coin is tossed 4 times.

Step 2. To determine

P(4 heads).

Step 3. Calculation

Total number of tosses = n = 4

Probability of getting a head in each toss = p = 0.5

The number of heads = X = 4.

X follows a binomial distribution with n = 4 and p = 0.5.

So,

$\begin{array}{l} P (4heads) \\ = P (X = 4) \\ = (\begin{matrix} 4 \\ 4 \end{matrix}) {(0.5)}^{4} {(1 - 0.5)}^{4 - 4} \\ = 0.0625 \end{array}$

Hence, P(4 heads) = 0.0625.

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Find each probability if a coin is tossed 4 times. (Lesson 12-8)
P(4 heads).

Short Answer

Step by step solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

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Find each probability if a coin is tossed 4 times. (Lesson 12-8)P(4 heads).

Short Answer

Step by step solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Find each probability if a coin is tossed 4 times. (Lesson 12-8)
P(4 heads).