Question

In a single throw of two die find tge probability of
1. A doublet
2. A number less than 3 on each die
3. An odd as a sum
4. An odd number on a die and a number less than or equal to 4 on other die

Answer 1

1. doublets are (1,1)(2,2)(3,3)(4,4)(5,5)(6,6)
probability (doublets)=6/36
=1/6

2.no.less than 3 on each are
(1,1)(1,2)(2,1)(2,2)
probability (no less than 3 on each)=4/36
=1/9

3.odd as a sum
(1,2)(1,4)(1,6)(2,1)(2,3)(2,5)(3,2)(3,4)(3,6)(4,1)(4,3)(4,5)(5,2)(5,4)(5,6)(6,1)(6,3)(6,5)
probability (odd as sum)=18/36
=1/2