Telangana Board Solutions for Chapter: Probability, Exercise 6: Optional Exercise

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on the same day?

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on the consecutive day?

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on different days? (Write the final answer in simplest fraction form).

A bag contains $5$ red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

A box contains $12$ balls out of which $\mathrm{x}$ are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If $6$ more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find $\mathrm{x}$.

A jar contains $24$ marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is $\frac{2}{3}$. Find the number of blue marbles in the jar.