Q:

Assume red and green are equally likely occurrences. Using Pascal’s triangle, what is the probability that you will get one green light in a row of five lights? a. 3/16 b. 1/32 c. 5/16 d. 5/32

Accepted Solution

A:
Answer:5/32.Step-by-step explanation:                      1                   1      1               1       2      1            1       3      3       1       1       4       6      4       1   1      5      10      10     5       1As there are 5 lights we need the last row in the above Pascals triangle.And  there is 1 red and 4 green  ( = 5) and it can happen in 5 ways, so that gives us the second term in the last row . The total  in that last row = 1+5+10+10+5+1 = 32.so the probability is 5/32.