A bag contains 9 tiles, one for each letter in the word HAPPINESS. You choose a tile at random.a. What is the probability that you choose a tile with the letter S? Express your answer as a fraction in simplest form.The probability is .b. What is the probability that you choose a tile with a letter other than P? Express your answer as a fraction in simplest form.The probability is .
Question
A bag contains 9 tiles, one for each letter in the word HAPPINESS. You choose a tile at random.a. What is the probability that you choose a tile with the letter S? Express your answer as a fraction in simplest form.The probability is .b. What is the probability that you choose a tile with a letter other than P? Express your answer as a fraction in simplest form.The probability is .
Solution 1
a. The word HAPPINESS has 9 letters in total. Out of these, 2 are the letter 'S'. So, the probability of choosing a tile with the letter 'S' is the number of 'S' tiles divided by the total number of tiles. This gives us 2/9.
b. The word HAPPINESS has 9 letters in total. Out of these, 2 are the letter 'P'. So, the number of tiles that are not 'P' is the total number of tiles minus the number of 'P' tiles. This gives us 9 - 2 = 7. So, the probability of choosing a tile with a letter other than 'P' is the number of non-'P' tiles divided by the total number of tiles. This gives us 7/9.
Solution 2
a. The word HAPPINESS has 9 letters in total. Out of these, 2 are the letter 'S'. So, the probability of choosing a tile with the letter 'S' is the number of 'S' tiles divided by the total number of tiles. This gives us 2/9.
b. The word HAPPINESS has 9 letters in total. Out of these, 2 are the letter 'P'. So, there are 9 - 2 = 7 tiles that are not 'P'. The probability of choosing a tile with a letter other than 'P' is the number of non-'P' tiles divided by the total number of tiles. This gives us 7/9.
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