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Question
a science teacher keeps a bag of dice, all the same size, for classroom activities. of the 15 dice, 4 are red, 5 are black, 2 are blue, and 4 are green. what is the probability that a randomly drawn die will not be black? (1 point) 0.333 0.667 0.500 0.600
Step1: Calculate the number of non - black dice
The total number of dice is \(n = 15\). The number of black dice is \(n_{black}=5\). The number of non - black dice \(n_{non - black}=15 - 5=10\).
Step2: Calculate the probability
The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (non - black dice) is \(n_{non - black} = 10\) and the total number of outcomes is \(n = 15\). So \(P=\frac{10}{15}=\frac{2}{3}\approx0.667\).
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0.667