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Nickels falling over You may feel it鈥檚 obvious that the probability of a head tossing a coin is about12because the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this 25time, and record the results.

(a) What鈥檚 your estimate for the probability that the

coin falls heads up? Why?

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

Short Answer

Expert verified

Part (a) The probability that the coin will land on its head 0.4

Part (b) The probability that the coin will land on its head0.4

Step by step solution

01

Part (a) Step 1. Given Information

To make the nickel on the edge fall over, we must pound the surface with our hands. Carry out these exercise25times and keep track of the results.

02

Part (a) Step 2. Concept Used  

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

03

Part (a) Step 3. Calculation 

The chance of the coin landing heads up can be computed as follows: If you got 10heads out of a total of 25repetitions. The probability of heads is calculated by dividing the number of heads you got on the repeats by the number of repetitions you did: P(heads)=1025=0.4As a result, the probability of the coin landing heads up is estimated to be0.4

04

Part (b) Step 1. Explanation  

Yes, we can obtain a more accurate estimate. By increasing the number of repetitions conducted, you can achieve a more accurate estimate. As a result, by increasing the number of repeats, the estimate can improve even more. To achieve a better estimate, the repetitions should be more than12

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Twenty of a sample of 275 students say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3 eat eggs but not fish, and 8 eat neither. Choose one of the vegetarians at random. What is the probability

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