Question
A bag contains 5 red, 10 orange, 15 green, 20 violet, and 25 black cards. What is the probability that you will get a black card or a red card if you remove a card from the bag?
Answers
GPT 3.5
To find the probability, we need to calculate the total number of favorable outcomes (in this case, getting a black card or a red card) and divide it by the total number of possible outcomes (the number of cards in the bag).
The total number of favorable outcomes is the sum of the number of black cards and red cards. Therefore, there are 5 + 25 = <<5+25=30>>30 favorable outcomes.
The total number of possible outcomes is the sum of the number of red cards, orange cards, green cards, violet cards, and black cards. Therefore, there are 5 + 10 + 15 + 20 + 25 = <<5+10+15+20+25=75>>75 possible outcomes.
So, the probability of getting a black card or a red card is 30/75 or simplified, 2/5.
The total number of favorable outcomes is the sum of the number of black cards and red cards. Therefore, there are 5 + 25 = <<5+25=30>>30 favorable outcomes.
The total number of possible outcomes is the sum of the number of red cards, orange cards, green cards, violet cards, and black cards. Therefore, there are 5 + 10 + 15 + 20 + 25 = <<5+10+15+20+25=75>>75 possible outcomes.
So, the probability of getting a black card or a red card is 30/75 or simplified, 2/5.
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