Tony has a bag of 40 coloured blocks. Without looking he reaches in and pulls one block out. There are four different colours red, green, purple, and yellow. If there are 6 red, 10 green, and the chance of picking yellow in a 0.2 chance

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

, what is the probability that Tony picks a purple block?

First, let's determine the total number of blocks that are not red or green:
Total blocks = 40 blocks
Red blocks = 6 blocks
Green blocks = 10 blocks
Yellow blocks = 0.2 * 40 = 8 blocks

Total red and green blocks = 6 + 10 = 16 blocks
Total red, green, and yellow blocks = 16 + 8 = 24 blocks

Total purple blocks = Total blocks - Total red, green, and yellow blocks
Total purple blocks = 40 - 24 = 16

Probability of picking a purple block = Total purple blocks / Total blocks
Probability of picking a purple block = 16 / 40
Probability of picking a purple block = 0.4 or 40%

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