Triangle ABC is similar to triangle XYZ. Solve for t.
1 answer:
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Answer:
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Step-by-step explanation:
The buckets are chosen without replacement, 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:
8 covered buckets, so N = 8.
4 buckets are selected, so n = 4.
2 contain a ball, which means that k = 2.
Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.
This is P(X = 2). So
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Even chance/possibly with all the other colors
because there is 5 of each colour making it not so likely to pull one color more then the other but less likely of not pulling that color at all
hope this helps
because there is 5 of each colour making it not so likely to pull one color more then the other but less likely of not pulling that color at all
hope this helps