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Chapter 5: Q 5. (page 294)

Spinning a quarter With your forefinger, hold a new quarter (with a state featured on the reverse) upright, on its edge, on a hard surface. Then flick it with your other forefinger so that it spins for some time before it falls and comes to rest. Spin the coin a total of 25 times, and record the results.

(a) What鈥檚 your estimate for the probability of heads? Why?

(b) Explain how you could get an even better estimate.

Short Answer

Expert verified

Part (a) The estimate for the probability of heads is0.04.

Part (b) The estimate for the probability of heads is0.04.

Step by step solution

01

Part (a) Step 1. Given Information

Need to spin the coin 25times and note the result after falling and comes to rest.

02

Part (a) Step 2. Concept Used 

The probability of an event is obtained by dividing the number of favorable outcomes by the total number of possible outcomes.

03

Part (a) Step 3. Calculation

The probability of heads can be calculated as:

p(heads)=1025

Thus, the required probability of heads is 0.4.

04

Part (b) Step 1. Explanation 

One can get an even better estimate by increasing the number of spins. A spin greater than 25could give a better estimate.

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