1. Write down a sample space for the experiment of rolling 2 dice repeatedly until a sum of 7 or 11 is observed or until the dice are rolled 4 times unsuccessfully.
2. Ten bowling pins are arranged in a triangle. How many theoretically possible spare situations are there? (A spare situation arises after one ball is rolled and at least one pin is left standing.)
Wow, theres not even the obligatory appeal that an assessment is forth coming and you need the sol'n to this problem ASAP!
1. Your sample space consists of throwing the dice once, twice, three times, and the final time - order each of these throws on a single line, and the elements of each line are the possible throws.
In the subspace of ONE toss, you get a 7 or an 11. In what combination of ways can you accomplish that? A:{(3, 4), (2,5), (5,6)} (note that, 4,3 is treated the same as (3,4) since you are tossing the dice at once and recording the combined toss; order is NOT important).
Do this for the rest of the throws. I assume you are using 6-sided die. This will not be clean.
2. This problem I do not see how it is giving you pause. If a spare occurs when at least one pin is still standing, then a not-spare occurs when NO pins are left. That only occurs when you've knocked down all 10. So a spare occurs when you've got between 1 and 10 pins standing. 10. That's it. Really no math needed, just reasoning.
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