148k views
15 votes
Nine balls, each marked with a number from 1 to 9, are placed in a bag and one ball is taken at random. What is the probability that the number on the ball is multiple of 2?

A.1/9
B.2/9
C.4/9
D.1

2 Answers

3 votes

Total balls=sample space=9

Multiples of 2

  • {2,4,6,8}

Total multiples=4

Probability

  • 4/9

Option C

User Jeanne Boyarsky
by
5.5k points
7 votes

Hello, the answer should be
(4)/(9), C option.

First, let's define the numbers that are a multiple of 2 from the balls we have.

  • 2
  • 4
  • 6
  • 8

Then, we will calculate our probability. To do this correctly, we must divide the amount of expected states into the amount of all the states.

Expected numbers: 2-4-6-8

All numbers: 1-2-3-4-5-6-7-8-9


P=\frac{{2,4,6,8}}{1,2,3,4,5,6,7,8,9} =(4)/(9)

Good luck! If you have any questions, then feel free to ask in comments!

User Trdavidson
by
5.3k points
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