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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鈥檛 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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