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.
P=Number of favorable outcomes/Number of possible outcomesThe 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.
70+ 100+ 80+ 50 = 300 coins
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(quarter).
P=Number of favorable outcomes/Number of possible outcomes