You reach in a jelly bean bag and grab one bean. If the bag contains 30 red, 25
ID: 3176752 • Letter: Y
Question
You reach in a jelly bean bag and grab one bean. If the bag contains 30 red, 25 orange, 15 pink, 10 green, and 5 black beans. What is the probability that you will get a black bean or a red bean? Using the jelly bean distribution from problem 1, what is the probability of selecting 5 beans, the first three of which are red and the next two of which are orange? Suppose there are two full bowls of cookies. Bowl #1 has 10 chocolate chip and 30 plain cookies, while bowl #2 has 20 of each. Our friend Fred picks a bowl at random, and then picks a cookie at random. We may assume there is no reason to believe Fred treats one bowl differently from another, likewise for the cookies. The cookie turns out to be a plain one. How probable is it that Fred picked it out of Bowl #1? In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order. In an eight-horse field, how many different ways can one make a trifecta bet? In an eight-horse field, how many different ways can one make a box trifecta bet?Explanation / Answer
4.
Answer is 336 ways
a. This is betting box trifecta : This can be done in ?
1st position can be taken in 8 ways ( each of the 8 horses can take this place)
2nd position can be taken in 7 ways ( each of the remaining 7 horses can take this place)
3rd position can be taken in 6 ways ( each of the remaining 6 horses can take this place)
b.
Answer is 56 ways
In a 8 horse field: Threee horses can be bet on in 8C3 ways. that' like choosing 3 horses in 8 horses.
8C3 = 56 ways this can be done.
Please remember that this different from part a in the way that we have been asked NOT for arrangement
or ORDERING
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