The tree diagram shows he possible win/loss paths for a basketball team playing in a tournament. Harris High School loses 1 game
in the tournament. How many ways could this happen?
1 answer:
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Answer:
8/27
Step-by-step explanation:
<h2><u>Fractions</u></h2>a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit
what fraction of the jar is full when it only contains one cup of fruit?
by using these statements , we can solve this through <u>cross multiplication</u>:
fraction that the jar is full : number of cups of fruit
:
x : 1
convert from a mixed fraction to an improper fraction
hence 2 1/4 = 9/4
solve
.
x =
<u>x = 8/27</u>
<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>Answer:
31.82% probability that you will receive 2 apples.
Step-by-step explanation:
The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
5 + 7 = 12 total fruits, which means that
7 apples, which means that
You receive 2 fruits, which means that
What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?
This is, as a proportion, P(X = 2). So
0.3182*100% = 31.82%
31.82% probability that you will receive 2 apples.