Problem 1.

(1 point) A random experiment consists of rolling two7-sided dice- a red die and a blue die (each die has 7-sides listed from 1 to 7). Consider the following events:

A: The sum of rolled outcomes is an odd number

B: At least one of the die's outcomes is a '1'.

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Problem 2.

(1 point) A slot machine has 3 "slots". After the push of a button, each slot on the machine will show one of the three following pictures: a cherry, a lemon, or a star. Define the following events:

A: exactly 1 cherry(s) appears

B: exactly 2 lemon(s) appears

C: at least one non-fruit appears

Part (a)How many elements are in this sample space? There is no need to list them.

Part (b)Find()=

P(B)=

Part (c)Are and mutually exclusive events?