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viva [34]
2 years ago
6

What is the probability that you will fail a test (pass or fail), draw a red ace, and then roll a 6?

Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Answer:

<u>0.7890176%</u>

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

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