Question

Suppose 70 percent of all tourists who come to India will visit Delhi while 60 per cent will visit Goa and 50 percent of them will visit both Delhi and Goa. Find out the probability that tourist will visit either Delhi or Goa.

Answer 1

The probability of a tourist visiting either Delhi or Goa is 0.8

Explanation:

• The percentage of tourists visiting Delhi is 70 and 60% of the tourists will visit Goa and 50% of the total number of tourists will visit both Delhi and Goa.
• Hence,assuming that the total percentage of tourists is 100%,the probability of a tourist visiting Delhi or P(D)=$\frac{70}{100}$=0.7 and the probability of a tourist visiting Goa or P(G)=$\frac{60}{100}$=0.6.The probability that any tourist will visit both Delhi and Goa,P(D and G)=$\frac{50}{100}$=0.5
• Hence,in this case,the probability that any tourist will visit either Delhi and Goa or P(D or G)=P(D)+P(G)-P(D and G)=$0.7+0.6-0.5$=0.8 or 80%

Answer 2

Answer:

The probability of a tourist visiting either Delhi or Goa is 0.8

Explanation:

The percentage of tourists visiting Delhi is 70 and 60% of the tourists will visit Goa and 50% of the total number of tourists will visit both Delhi and Goa.

Hence,assuming that the total percentage of tourists is 100%,the probability of a tourist visiting Delhi or P(D)==0.7 and the probability of a tourist visiting Goa or P(G)==0.6.The probability that any tourist will visit both Delhi and Goa,P(D and G)==0.5

Hence,in this case,the probability that any tourist will visit either Delhi and Goa or P(D or G)=P(D)+P(G)-P(D and G)==0.8 or 80%

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