Question

Each letter of the word algebra is written on identical slips of paper and placed in a box of a slip of paper selected from the box without looking what is the probability that the slip of paper will not have the letter A on it.

Answer 1

The probability of selecting a slip of paper that does not have the letter A from the word 'algebra' is 5 out of 7, which can also be expressed as approximately 0.714 or 71.4%.

Step-by-step explanation:

The probability of selecting a slip of paper that does not have the letter A on it from the word 'algebra' can be calculated by looking at the total number of letters in the word and the number of letters that are not A. The word 'algebra' has 7 letters in total, and there are 2 A's in it. Thus, there are 7 - 2 = 5 letters that are not A.

To calculate the probability, you divide the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability of selecting a slip that is not A is:

P(not A) = Number of slips not A / Total number of slips

P(not A) = 5 / 7

This means there is a 5 out of 7 chance of selecting a slip that is not the letter A, which can also be expressed as a decimal (approx. 0.714) or a percentage (approx. 71.4%).