In a game, four cards are labeled N, S, E, and W. Two tiles are numbered 1 and 2. Two discs are red and blue. A player randomly selects one card, one tile, and one disc.
Find the probability the player selects a card with S or E, a tile with 2, and a red disc.

Step-by-step explanation:

Two find the final probability asked, first we need to find each probability.

This probability is defined by the sum of the probability of getting a card with S, and a probability of getting a card with E. Remeber, when the probability involves "or", that means sum.

There are two tiles only, and one of them is numbered 2. So, its probability is

There are two discs only. So, the probability of getting a red disc is

Now, the combined probabilty of all these events can be found by multiplying,  because we want to now the chances of getting all these results which are independent.

Therefore, the probability is 1/8.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8