Tanya prepared 4 different letters to be sent to 4 different addresses.
Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter she prepared an envelope with its correct address. If the 4 letters are to be put in 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?
Answer/Solution
1/3
Steps/Work
Possible sequences are CIII, ICII, and so on...C=correct, I=incorrect
Total possible sequences are 4P1=4 ways.
Lets take the probability of having one particular sequence CIII.
P = 1/4*2/3*1/2*1 = 1/12.
So the probability of having any of the sequence is 4*1/12 =1/3
ANS:D
Total possible sequences are 4P1=4 ways.
Lets take the probability of having one particular sequence CIII.
P = 1/4*2/3*1/2*1 = 1/12.
So the probability of having any of the sequence is 4*1/12 =1/3
ANS:D