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Chapter 15: Q23P (page 736)

A thick coin has probability 37of falling heads, 37of falling tails, and 17of standing one edge. Show that if it is tossed repeatedly it has probability 1 of

Eventually standing on edge.

Short Answer

Expert verified

Answer

The probability that the coin stands on the edge is 1.

Step by step solution

01

Given Information

A thick coin has probability 37of falling heads, 37of falling tails, and17 of standing on edge.

02

Definition of Independent Event

The events are said to be independent when the occurrence or non-occurrence of any event does not have any effect on the occurrence or non-occurrence of the other event.

03

Finding the probability that the coin lands on edge

The probability that the coin doesn’t land on edge is 67and when the toss is done -times, the probability of not falling on edge is 67n.

This implies that the probability of landing on edge at least one time is1-67n.

As the number of tosses increase the value of 67ngets closer to 0 and the probability eventually becomes 1.

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Most popular questions from this chapter

Two dice are thrown. Given the information that the number on the first die iseven, and the number on the second is <4, set up an appropriate sample space andanswer the following questions.

(a) What are the possible sums and their probabilities?

(b) What is the most probable sum?

(c) What is the probability that the sum is even?

(a) A loaded die has probabilities121,221,321,421,521,621of showing 1, 2, 3, 4, 5, 6.What is the probability of throwing two 3’s in succession?

(b) What is the probability of throwing a 4 the first time and not a 4 the second

Time with a die loaded as in (a)?

(c) If two dice loaded as in (a) are thrown, and we know that the sum of the

numbers on the faces is greater than or equal to 10, what is the probability

That both are 5s?

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(e) Adie, loaded as in (a), is thrown twice. What is the probability that thenumber on the die is even the first timethe second time?

Two cards are drawn from a shuffled deck. What is the probability that both are red? If at least one is red, what is the probability that both are red? If at least one is a red ace, what is the probability that both are red? If exactly one is a red ace, what is the probability that both are red?

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