There are 6 sixth graders , 7 seventh graders , and 8 eight graders entered in a contest.
2 answers:
Answer:
Step-by-step explanation:
Given:
6 sixth graders 7 seventh graders 8 eight graders
Total = 6 + 7 + 8 = 21
<h3><u>Question 1</u></h3>
The probability of the 1st pick being a 6th grader:
Now there will be 5 sixth graders left and a total of 20 left.
So, the probability of the 2nd pick being a 6th grader:
Therefore,
<h3><u>Question 2</u></h3>
Law of Total Probability states that the sum of probabilities is 1
Answer:
See below ~
Step-by-step explanation:
<u>P (6th grader)</u>
No. of 6th graders / Total students 6 / 6 + 7 + 8 6/21 2/7
<u>P (6th grader after)</u>
No. of 6th graders - 1 / Total students - 1 6 - 1 / 21 - 1 5/20 1/4
<u>Question 1 : P (Both 6th graders)</u>
P = P (6th grader) × P (6th grader after) P = 2/7 x 1/4 = 2/28 = <u>1/14 </u> <u> </u>
<u>Question 2 : P' (Both 6th graders)</u>
P' = 1 - P P' = 1 - 1/14 P' = <u>13/14 </u>
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