There are 9 students in a class: 2 boys and 7 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a girl?
Answers
Answered by
0
Answer:
7/9
Step-by-step explanation:
no of possible outcomes/no of total outcones
Answered by
1
Answer and Explanation:
Step 1:
Probability that the first picked student is a girl = Number of girls / Total number of students
=79=79
Step 2:
Probability that the second picked student is a girl = Number of remaining girls / Total number of remaining students
=68=68
Step 3:
Probability that the third picked student is a girl = Number of remaining girls / Total number of remaining students
=57=57
Step 4:
Probability that the fourth picked student is a girl = Number of remaining girls / Total number of remaining students
=46=46
Step 5:
Probability that the all picked student are girls:
=79×68×57×46=518=79×68×57×46=518
Therefore, probability that everyone in the group is a girl =518=518
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Step 1:
Probability that the first picked student is a girl = Number of girls / Total number of students
=79=79
Step 2:
Probability that the second picked student is a girl = Number of remaining girls / Total number of remaining students
=68=68
Step 3:
Probability that the third picked student is a girl = Number of remaining girls / Total number of remaining students
=57=57
Step 4:
Probability that the fourth picked student is a girl = Number of remaining girls / Total number of remaining students
=46=46
Step 5:
Probability that the all picked student are girls:
=79×68×57×46=518=79×68×57×46=518
Therefore, probability that everyone in the group is a girl =518=518
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