Answer :
Final answer:
The probability that a chosen counter is either white or purple is calculated by identifying the number of favorable outcomes (white or purple counters) and dividing it by the total outcomes (all counters). The probability in this case, simplified to lowest terms, is 3/4.
Explanation:
The question is about probability in a situation where there are different colored counters in a bag and one is picked out at random. To start solving this, let's first find out the total number of white and purple counters. From the given question, we know there 2 white counters and the rest are purple. Since the total number of counters is 20, and 2 are white, 1 is pink and 4 are black, then we can find out the number of purple counters by subtracting the sum of white, pink and black counters from the total, which is 20 - 2 - 1 - 4 = 13. Therefore, there are 13 purple counters.
Next, let's find the probability that a counter at random is either white or purple. Probability is the ratio of the number of favorable outcomes to the total number of outcomes. The favorable outcomes in this case would be either a white or a purple counter. So the number of favorable outcomes is 2 (white counters) + 13 (purple counters) = 15. The total outcomes are all the counters, which are 20. Hence the probability is 15/20 = 0.75 which simplifies to 3/4.
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Final answer:
The probability of drawing either a white or purple counter from the bag is 3/4. This is achieved by adding the number of white and purple counters, then dividing by the total number of counters.
Explanation:
In this question, you're asked to find the probability that Carter picks out a counter that is either white or purple from a bag of 20 counters. Firstly, we have to figure out the total number of white and purple counters in the bag. We know that there are 2 white counters and the rest are purple. With 20 total counters in the bag and 7 counters of other colors (2 white, 1 pink, and 4 black), the number of purple counters is 13 (20-7).
So, the total number of white or purple counters is 2 (white) + 13 (purple), which gives us 15 counters.
Probability is determined by dividing the number of favorable outcomes by the total number of outcomes. As such, the probability that the counter is white or purple is 15 (white or purple counters) divided by 20 (total counters), which results in 3/4, thereby proving the statement to be true.
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