The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one stu...
The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one student will graduate?
Answer Details
To find the probability that at least one student will graduate, we can calculate the probability that no student will graduate and then subtract that from 1.
The probability that a student will not graduate from college is 1 - 0.4 = 0.6.
So, the probability that none of the three selected students will graduate is:
0.6 * 0.6 * 0.6 = 0.216
Therefore, the probability that at least one student will graduate is:
1 - 0.216 = 0.784
So, the answer is 0.78.
In summary, the probability that at least one student will graduate from college given that 3 students are selected is 0.784 or 0.78, which is obtained by subtracting the probability that none of the three students will graduate from 1.