70.5k views
4 votes
Help please. Question is on the picture.

Help please. Question is on the picture.-example-1
User Adiian
by
6.0k points

1 Answer

1 vote

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

==============================================

Step-by-step 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.

------------------

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.

Help please. Question is on the picture.-example-1
User Inverse
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.