Suppose two 6-sided dice are rolled. What are the probabilities of the following events? At least one die lands on an odd number (call this event A). At least one die lands on a number less than or equal to 3 (call this event B). A or A and

Solution

S u pp ose tw o 6 - s i d e d d i ce a re ro ll e d . Wha t a re t h e p ro babi l i t i es o f t h e f o ll o w in g e v e n t s ? A t l e a s t o n e d i e l an d s o n an o dd n u mb er (c a ll t hi s e v e n t A) . A t l e a s t o n e d i e l an d s o n a n u mb er l ess t han or e q u a l t o 3 (c a ll t hi s e v e n t B) . A or A an d

The number : - 3

Solution steps

Represent the number with

x

A.T.Q.:

- 1 \cdot x = 3

Solve for

x, - 1 \cdot x = 3 : x = - 3

The number : - 3