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# S1 Discrete Random Variables watch

1. A fair die is thrown 4 times and the number of times it falls with a 6 on the top, Y, is noted. Write down all the possible values of Y (Tell me how it is done)
2. Well... how many times is it possible for it to land on a 6, if you roll it 4 times?
3. (1/6)^4
(1/6)^4
No. That is the probability of it landing on a 6 four times in a row, that's not the question being asked.

The dice could land with a 6 up 0 times, once, twice, thrice or 4 times. That's all you're being asked to find out.

To calculate the probability of it landing two or three times you need to use binomial distribution, as the other ones are pretty simple to work out.

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Updated: April 24, 2018
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