At a high school, the probability that a student is a senior is 0.20. The probability that a student plays a
sport is 0.15. The probability that a student
IS a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.25
• B. 0.15
•
C. 0.33
•
D. 0.05

Hope This Helps!

Step-by-step explanation:

Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option A is the correct choice.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

5+2x=a

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