Answer: The probability that the player selects a card with S or E, a tile with 2 and a red disc is given as 0.125 (or 1/8)
Step-by-step explanation: If four cards are labelled N, S, E and W, then that means there are a total of four possible outcomes. Also with tiles numbered 1 and 2 there are a total of two possible outcomes when selecting tiles. Then there are two discs in total (one red and one blue) which means there are a total of two outcomes when selecting discs.
To select a card with S would be calculated as follows;
P(S) = Number of required outcomes/Number of all possible outcomes
P(S) = 1/4
P(S) = 0.25
To select a card with E would likewise be calculated as follows;
P(E) = Number of required outcomes/Number of possible outcomes
P(E) = 1/4
P(E) = 0.25
Therefore, the probability that a player selects a card with S or E is derived as follows;
P(S or E) = P(S) + P(E)
P(S or E) = 0.25 + 0.25
P(S or E) = 0.5
The probability that he selects a tile with 2 written on it is calculated as;
P(T2) = Number of required outcomes/Number of all possible outcomes
P(T2) = 1/2
P(T2) = 0.5
The probability that he will select a red disc is calculated as;
P(R) = Number of required outcomes/Number of possible outcomes
P(R) = 1/2
P(R) = 0.5
Therefore, the probability that the player selects a card with S or E, a tile with 2 and a red disc is calculated as;
P(S or E and T2 and R) = 0.5*0.5*0.5
P(S or E and T2 and R) = 0.125
Hence the probability that the player selects a card with S or E, a tile with 2 and a red disc is 0.125 (or 1/8).
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