I have two coins and two 10 sided dice. All are fair. I flip each coin once and roll each dice twice. What is the probability that I get two heads and four 10s (assuming it follows the laws of probability)? Give your answer in decimal form.
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Just find the product of all the probabilties that result in a win. Getting a head is 1/2 so doing it twice is 1/2*1/2=1/4. rolling a ten is 1\10 so doing it 4 times is (1/10)^4=1/10000. so the probabilty of both happening is 1/10000×1/4=1/40000=0.000025.