McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
3. Geometric Probability
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Exercise 43 Page 905

C

Practice makes perfect

When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that a randomly chosen marble is red, we will use the Probability Formula. P=Favorable Outcomes/Possible Outcomes We know that one marble is chosen at random from the box.

In the box, there is a total of 7 blue, 6 red, 2 white, and 3 black marbles. The sum of these values is the number of possible outcomes. 7+6+2+3= 18 marbles Out of these, 6 are red, which is the number of favorable outcomes. Now we have enough information to calculate P(Red marble).

P=Favorable Outcomes/Possible Outcomes
P(Red marble)=6/18
P(Red marble)=1/3
P(Red marble)=0.3
P(Red marble)≈0.33

The probability of choosing a red marble is 13 or about 0.33. This result corresponds to answer C.