Question

Reshma and Ritam are two friends studying in same class 10 of different school Delhi. In order to complete their holidays project work on historical monuments they decide to visit Redfort. For this they decided to tons coin. If heads appear they decide to visit otherwise not. For Redfort they toss coin separately and result of both was head. Redfort remains close on Monday. So none of them visited Redfart. Now to decide day of visit from remaining days of week, each of them throw a die. On the basis of outcome they went to Redfort. 

(i) What is the probability of visiting Redfort on Monday? 

(ii) What is the probability of not visiting Redfort on Monday? 

(iii) What is the probability of visiting Redfort on same day of week? 

(iv) What is the probability of visiting Redfort on different day of week?

Answer 1

(i) Since, Redfort remains close on Monday.

So, none of them visits Redfort on Monday 

∴ Probability of visiting Redfort on Monday = 0.

(ii) Probability of not visiting Redfort on Monday

= 1 - Probability of visiting Redfort on Monday 

= 1 - 0

= 1

(iii) They both decides the visiting day by throwing  a die. If out comes of both dies are same then the visit Redfort on Same day otherwise on different day.

∴ Probability of visiting Redfort on same day = Probability that both die will give same out comes

\(=\frac{6}{36} = \frac16\)

(iv) Probability of visiting Redfort on different day = Probability that both die will give different outcomes

\(= \frac{30}{36} = \frac56\)