Problema Solution
Write a note on Pascal’s triangle and discuss how one can use Pascal’s triangle to find the probability of getting 2 heads, 1 head and 1 tail, when two coins are tossed simultaneously.
Answer provided by our tutors
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.
Each number is just the two numbers above it added together (except for the edges, which are all "1").
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
question involve 2 coins so the 2nd row of the trinagle will be selected
the top row with single 1 is considered to be row 0
2 coins are tossed so considering 2nd row
1 2 1 <(HT)-1 (HH , TT )-2 (TH)-1>
probability of two head is = 2/(1+1+2 ) =1/2 ans
probability of one head one tailis = (1+1) /(1+1+2) = 1/2ans