Jacob mixes the letters, J,K,L,J,K, M,N,M, and P thoroughly. without looking Terry draws one letter expressed as a fraction, decimal, and percentage. What is the probability that K will not be the letter Terry selects?
• 1/4, 0.25, 25%
• 3/4, 0.75, 75%
• 4/3, 1.33%, 13.3%
• 5/8, 0.625, 62.5%
There are a total of 8 letters in the mix: J,J,K,K,L,M,M,N,P.
Since Terry is equally likely to draw any of the 8 letters, the probability of getting K is 2/8 or 1/4.
Therefore, the probability of not getting K is 1 - 1/4 = 3/4, which is equivalent to 0.75 or 75%.
So the answer is: 3/4, 0.75, 75%.
To find the probability that K will not be the letter Terry selects, we need to determine the number of favorable outcomes (letters that are not K) and divide it by the total number of possible outcomes.
Let's count the number of favorable outcomes:
There are 7 letters in total: J, K, L, J, K, M, N, M, and P.
Out of these, there are 6 letters that are not K: J, L, J, M, N, M, and P.
So, the number of favorable outcomes is 6.
Now, let's find the total number of possible outcomes:
There are 7 letters in total, so the total number of possible outcomes is 7.
Therefore, the probability that K will not be the letter Terry selects is:
6 (favorable outcomes) / 7 (total outcomes) = 6/7
Converted to a decimal, this is 0.8571...
Converted to a percentage, this is approximately 85.71%.
Therefore, the correct answer is:
• 6/7, 0.8571, 85.71%
To find the probability that K will not be the letter Terry selects, we need to determine the total number of possible outcomes and the number of favorable outcomes.
There are a total of 9 letters: J, K, L, J, K, M, N, M, and P.
The number of favorable outcomes is the number of letters that are not K.
There are 8 letters that are not K: J, L, J, M, N, M, and P.
Therefore, the probability that K will not be the letter Terry selects is 8 out of 9.
Expressed as a fraction, the probability is 8/9.
Expressed as a decimal, the probability is 0.888888... (recurring).
Expressed as a percentage, the probability is approximately 88.888...%. Rounded to one decimal place, it is 88.9%.
So, the correct answer is not listed among the options provided.