Jason wrote a computer program that randomly generates one of the letters of his name. He runs the program three times. What is the probability that it generates either a "J" or an "n" all three times? Answer options with 4 options A. StartFraction 1 over 125 EndFraction B. StartFraction 8 over 125 EndFraction C. StartFraction 3 over 25 EndFraction D. StartFraction 2 over 5 EndFraction
Question
Jason wrote a computer program that randomly generates one of the letters of his name. He runs the program three times.
What is the probability that it generates either a "J" or an "n" all three times?
Answer options with 4 options A. StartFraction 1 over 125 EndFraction
B. StartFraction 8 over 125 EndFraction
C. StartFraction 3 over 25 EndFraction
D. StartFraction 2 over 5 EndFraction
Solution
The name "Jason" has 5 letters, and among them, "J" and "n" are 2. So, the probability of getting either "J" or "n" in one trial is 2 out of 5, or 2/5.
Since the program is run three times, and we assume each run is independent, we multiply the probabilities together to get the overall probability.
So, the probability of getting either "J" or "n" all three times is (2/5) * (2/5) * (2/5) = 8/125.
So, the correct answer is B. StartFraction 8 over 125 EndFraction.
Similar Questions
34. Terry puts three different letters randomly in three envelopes with different addresses, Find the probability thatat least one letter is put in the envelope with correct address.
A random number generator is used in a chance experiment.Students set the range of the generator from 1 to 100.What is the probability that the number generated is a multiple of 5?A. 15B. 25C. 110D. 1050
Count the possible combinations of 3 letters chosen from U, V, W, X, Y, Z.The possible combinations of 3 letters are .
A company puts a code on each different product they sell. The code is made up of 3 numbers and 2 letters. How many different codes are possible?(no alphabet and numbers will be repeated )Choices:- 52000 625000 60000 468000
t the correct answerA letter is taken out at random from ‘ASSISTANT’ and another is taken out from “STATISTICS”. The probability that they are the same letters is:Options3/9619/13619/90None
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.