Three dimes are tossed at the same time. What is the probability that all three land on heads?
1/2 * 1/2 * 1/2 = 1/8
Meredith has 3 times as many pennies as nickels, 2 times as many nickels as quarters, and the same number of dimes as quarters. In all, she has $2.55. How many of each coin does Meredith have?
To find the probability that all three dimes land on heads, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes.
Each dime has two possible outcomes: heads or tails. Since we are tossing three dimes, the total number of possible outcomes is 2 x 2 x 2 = 8.
Step 2: Determine the number of favorable outcomes.
To have all three dimes land on heads, there is only one favorable outcome: heads, heads, heads.
Step 3: Calculate the probability.
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 8
Probability = 0.125
Therefore, the probability that all three dimes land on heads is 0.125 or 12.5%.