<p>ok so slot machine has three screens. there are 7 images and each image has an equal chance of landing on each of the screen. you win a prize if 1st & 2nd screen land on the same image and 3rd screen lands on a candle(1 of the 7 images), calculate the probability of winning the prize? i did 1/7 * 1/7 * 1/7 it would be 1/343 but in the book it says answer is 1/49 and it doesnt show an explanation this was in kaplan purple book of sat tests</p>
<p>For the first panel, it can be ANY Panel because it just has to match the middle slot, and the middle slot hasn’t been selected yet. So it can be 7/7 options.</p>
<p>The middle panel just has to match the first. Since there are 7 possible images for the first panel, the chance of it matching is 1/7.</p>
<p>The last panel just has to be a candle, which has a 1 in 7 chance of occurring.</p>
<p>Thus, (7/7) * (1/7) * (1/7) = 1/49</p>