wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In a multiple choice question there are four alternative answers, of which one or more are correct. A candidate will get marks in the question only if he ticks all the correct answers. The candidate decides to tick answers at random. If he is allowed upto three chances to answer the question, find the probability that he will get marks in the question.___


Open in App
Solution

The total number of ways of ticking the answers in any one attempt =241=15
(The student is taking chance at ticking the correct solution, the case of his not ticking any answer is ruled out.)
It is reasonable to assume that in order to derive maximum benefit, the three solutions which he will submit must be all different.
n = total no. of ways =15C3
m = the no. of ways in which the correct solution is excluded =14C3.
Hence the required probability =114C315C3=145=15


flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Operations on Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon