10th Class Mathematics Probability Question Bank Case Based (MCQs) - Probability

If the storekeeper bought 14 more cartons of pineapple juice, then the probability of selecting a tetrapack of pineapple juice from the store is:

A) \[\frac{25}{127}\]

B) \[\frac{50}{127}\]

C) \[\frac{75}{127}\]

D) \[\frac{100}{127}\]

Correct Answer: B

Solution :

Number of cartons left with storekeeper

\[=250-10=240\]

Number of cartons he bought =14

\[\therefore \] Total number of cartons are with storekeeper now \[=\text{24}0+\text{14}=\text{254}\]

So, P (selecting a tetrapack of pineapple juice from store)

\[=\frac{(90-4+14)\times 10}{254\times 10}=\frac{100}{254}=\frac{50}{127}\]

So, Option [b] is correct.