**Toolbox:**

- If two dice are tossed number of ways u can get a total of 11
- \(A;(X,4);X+y=11\)
- ={\((5\;6)(6\;5)\)}
- Sample space of two dice toss has 6x6=36 events
- \(B;(x,y);x+y=5\)
- Number of ways u can get total of five
- B={\((1\;4)(4\;1)(2\;3)(3\;2)\)}
- To check if A and B are indipendany check if P(A\(\cap\)B)=P(A).P(B)

P(A)=\(\Large\frac{2}{36}\)=\(\Large\frac{1}{18}\)

P(B)=\(\Large\frac{4}{36}\)=\(\Large\frac{1}{9}\)

(A\(\cap\)B) is a null set

P(A\(\cap\)B)=0

P(A)\(\times\)P(B)\(\neq\)P(A\(\cap\)B)

A and B are not independentnd