Answer :
Final answer:
To find the probability that the counter is white or purple, we add the probability of getting a white counter (1/10) to the probability of getting a purple counter (13/20), resulting in a probability of 3/4.
Explanation:
To determine the probability that the counter Carter takes out is either white or purple, we first need to calculate the total number of purple counters. There are 20 counters in total: 2 white, 1 pink, 4 black, and the rest are purple. Subtracting the white, pink, and black counters from the total gives us the number of purple counters: 20 - 2 - 1 - 4 = 13 purple counters.
The probability of drawing a white counter is the number of white counters over the total number of counters, which is 2/20 or 1/10 after simplifying. The probability of drawing a purple counter is the number of purple counters over the total, which is 13/20. To find the probability that Carter draws either a white or purple counter, we add the two probabilities together because these are mutually exclusive events:
Probability(White or Purple) = Probability(White) + Probability(Purple) = 1/10 + 13/20 = 2/20 + 13/20 = 15/20 or 3/4 after simplifying.
The probability that Carter draws a counter that is either white or purple is 3/4.
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