Randy Manny and Jan put 3 As, 4 Bs and 5 Cs in the box. They will take turns in getting a letter from the box. They are trying to test the probability of getting their favourite letter.
Randy-A Manny-B Jan-C
1. What is the probability of getting each boy's favourite letter?
a. Randy
b. Manny
c. Jan
2. If you are next to Jan to pick up a letter and your favourite letter is A. What is the probability of getting
your favourite letters?
3. Who is most unlikely to get his favourite letter.
Answers
Given : Randy Manny and Jan put 3 As, 4 Bs and 5 C s in the box. They will take turns in getting a letter from the box.
They are trying to test the probability of getting their favourite letter.
Randy-A Manny-B Jan-C
To Find : What is the probability of getting each boy's favourite letter?
a. Randy
b. Manny
c. Jan
Solution:
3 + 4 + 5 = 12
Probability on based of 1st turn or with replacement
Probability of Randy = 3/12 = 1/4
Probability of Manny = 4/12 = 1/3
Probability of Jan = 5/12
Randy is most unlikely to get his favourite letter.
you are next to Jan to pick up a letter and your favorite letter is A. What is the probability of getting your favourite letters
Jan Can pick A with 1/4 not A with 3/4
if Jan pick A then probability of A = 2/11
if Jan does not pick A then probability of A = 3/11
Hence probability = (1/4) (2/11) + (3/4)(3/11)
= 2/44 + 9/44
= 11/44
1/4 is the probability
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