Example 2 A fair die is tossed twice and the values are observed in order. Let A={(a,b)|a=b},B={(a,b)|a=6} and C={(a,b)||a-b|=2} (1) Find the probability of each outcome event assuming that all faces values are equally likely. Decide if AsubB or BsubA ? (- Find a descriptive definition of A cup B,A cap B^(c) and A^(c). Find a descriptive defini solutionspile.com

Question

Example 2 A fair die is tossed twice and the values are observed in order. Let

A={(a,b)|a>=b},B={(a,b)|a=6}

and

C={(a,b)||a-b|=2}

(1) Find the probability of each outcome event assuming that all faces values are equally likely. Decide if

AsubB

or

BsubA

? (- Find a descriptive definition of

A\cup B,A\cap B^(c)

and

A^(c)

. Find a descriptive definition of

A\cap C

. Solution 2 (1)

S={(a,b)|1<=a,b<=6}

. Think of

S

as a

6\times 6

matrix, so

A

is all terms on or below the diagonal, 21, so

P[A]=23.B

is the last row, so

P[B]=(6)/(3)

, and

C={(3,1),(1,3),cdots,(4,6),(6,4)},8

terms, so

P[C]=(8)/(36)

. Parts (2), (3), and (4) are Homework 1.

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(Solved): Example 2 A fair die is tossed twice and the values are observed in order. Let A={(a,b)|a>=b},B={ ...