Probability
Probability
Allen Star Batch
Grade 12
Question:
In a board exam there are two sections each section has $5$ questions. As per the given condition a candidate has to answer any $6$ questions out of $10$ questions. What is the probability that a student answered $6$ questions such that not more than $4$ questions selected from one section?
Step-by-Step Solution
Key Concept: Identify the size of the sample space using combinations, then count favorable outcomes to compute the probability.
The sample space is ${}^{10}C_6 = \frac{10!}{6! \cdot 4!} = (7 \times 8 \times 9 \times 10)/(24) = 210$. The required answer is $200/210 = 20/21 = 0.9523$.
Correct Answer: 0.9523