The problem: "Flip three coins and find the probability of getting three heads" is a compound event because we are looking for the probability that the first coin flip is heads AND the probability the second coin flip is heads AND the probability the third coin flip is heads.
Question
The problem: "Flip three coins and find the probability of getting three heads" is a compound event because we are looking for the probability that the first coin flip is heads AND the probability the second coin flip is heads AND the probability the third coin flip is heads.
Solution
Sure, let's solve this step by step.
Step 1: Understand the problem We are flipping three coins and we want to find the probability of getting heads on all three flips.
Step 2: Determine the total number of outcomes When you flip a coin, there are two possible outcomes: heads (H) or tails (T). So, for three coins, the total number of outcomes is 222 = 8. These outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Step 3: Determine the favorable outcomes The favorable outcome for this problem is getting heads on all three flips, which is only one outcome: HHH.
Step 4: Calculate the probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability of getting three heads is 1/8 = 0.125 or 12.5%.
So, the probability of getting three heads when flipping three coins is 12.5%.
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