Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, O for orange, R for red, G for gray, E for ebony, and T for teak. While renovating your house, you have a choice of paint colors for your game room: white, orange, or red. You also have the following options for the finish on your entertainment center: gray, ebony, or teak.

The Sample space would be

{(W,G), (W,E), (W,T), (O, G) (O,E), (O,T), (R,G), (R,E), (R,T)}

Step-by-step explanation:

Colors for room are { W, O,R}

ENTERTAINMENT  Center would be { G, E, T}

The Sample space would be

{(W,G), (W,E), (W,T), (O, G) (O,E), (O,T), (R,G), (R,E), (R,T)}

A sample space is a set consisting of all possible outcomes that can result from a random experiment( real or conceptual) . For instance the experiment of tossing a coin results in either of two possible outcomes ; a head (H) or a tail (T). The sample space for this experiment would S= {H,T}. The sample space for tossing two coins once would be S={HH,HT, TH, TT}.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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