Answer:
Yes; P(blue glove) = 11/20 and P(not blue glove) = 9/20
The probability of selecting a blue glove is greater than the probability of not choosing a blue glove.
See the attached diagram below
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Explanation:
There are 3 red gloves, 6 black gloves, and 11 blue gloves. So there are 3+6+11 = 20 gloves total in the drawer. The probability of picking blue is 11/20. The probability of not picking blue is 9/20 since we had 3red+6black = 9 gloves that are not blue. Or you could note that 11/20 + 9/20 = 20/20 = 1.
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The probability of picking blue is greater than the probability of not picking blue. Oliver is likely to pick a second blue glove.
The way to see how 11/20 is larger than 9/20 is to compare the numerators. We see that 11 > 9, so that helps show 11/20 > 9/20.
You could also use your calculator to look at the decimal form of each fraction
11/20 = 0.55
9/20 = 0.45
This shows 11/20 is larger.
