1. You have a jar of marbles in front of you with the following colors: 7 - red, 12 - blue, \( 6- \) yellow and 9 - white. What are the odids of selecting marble that is not blue? 2. There are 15 men on the roster of the baseball team. 2 are catchers, 6 are infielders, 4 are outfielders and the remainder are pitchers. What is the probability that a player chosen at random would be an infielder?
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To calculate the odds of selecting a marble that is not blue, we first find the total number of marbles, which is 7 (red) + 12 (blue) + 6 (yellow) + 9 (white) = 34 marbles. The number of marbles that are not blue is 7 (red) + 6 (yellow) + 9 (white) = 22. Thus, the odds of picking a marble that is not blue are 22 to 12, or simplified, 11 to 6. For the baseball team scenario, we have a total of 15 men, including 6 infielders. The probability of randomly selecting an infielder is the ratio of infielders to the total number of players. So, the probability \( P \) would be \( P(\text{infielder}) = \frac{6}{15} = \frac{2}{5} \) or 40%. That means if you randomly pick a player, there’s a 40% chance they’re going to be an infielder!