What we flip three coins, what is the probability that none of the coins will land on Tails

When flipping a coin, there are two possible outcomes: heads (H) or tails (T).

Step 1: Determine the total number of outcomes for flipping three coins. Each coin flip is an independent event, meaning the outcome of one flip does not affect the outcome of another. So, for each coin, there are 2 outcomes (H or T). Since we are flipping 3 coins, the total number of outcomes is 222 = 8.

These outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Step 2: Determine the number of outcomes where none of the coins land on tails. Looking at our list of outcomes, there is only 1 outcome where none of the coins land on tails: HHH.

Step 3: Calculate the probability. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the probability that none of the coins will land on tails is 1/8.