Exercise 1 Page p36

We randomly select one coin from a jar containing $70$ nickels, $100$ dimes, $80$ quarters, and $50$ one-dollar coins. We want to find the probability of picking a quarter. To do so, we use the Probability Formula. The formula tells us that the probability of an event is the number of favorable outcomes divided by the number of possible outcomes. The jar which we are choosing from contains $70$ nickels, $100$ dimes, $80$ quarters, and $50$ one-dollar coins. For the denominator of the formula, the total number of possible outcomes, we need the total number of coins in the jar. For the numerator of the formula, the total number of favorable outcomes, we need the total number of quarters in the jar. As previously stated, we know that there are $80$ quarters. Now we have enough information to calculate $P(\text{quarter}).$ The probability of choosing a quarter is $\frac{4}{15}.$