Three unbiased coins are tossed. What is the probability of getting at most two heads?34143878

Sure, let's solve this step by step.

Step 1: Identify the total number of outcomes When three coins are tossed, the total number of outcomes is 2^3 = 8. This is because each coin can land in two ways, either a head (H) or a tail (T). So, the total outcomes are: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Step 2: Identify the favorable outcomes The favorable outcomes for getting at most two heads are: {HHT, HTH, HTT, THH, THT, TTH, TTT}. This includes the outcomes with no heads (TTT), one head (HTT, THT, TTH), and two heads (HHT, HTH, THH).

Step 3: 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 at most two heads when three coins are tossed is 7/8 = 0.875.