Chapter 8.1, Problem 4MP

Suppose in Example 4 that after flipping the nickel and dime $1,000$ times, we find that HH turns up $273$ times, HT turns up $206$ times, TH turns up $312$ times, and TT turns up $209$ times. On the basis of this evidence, we assign probabilities to the simple events in S as follows:

This is an acceptable and reasonable probability assignment for the simple events in S. What are the probabilities of the following events?

$\left(\text{A}\right)E_1=\text{getting at least 1 tail}\text{.}$

$\left(\text{B}\right)E_2=\text{getting}2\text{tails}\text{.}$

$\left(\text{C}\right)E_3=\text{getting at least 1 head or at least 1 tail}$