A charter boat company of St. Lucia takes tourists on a daily dolphin/whale watc

Question

A charter boat company of St. Lucia takes tourists on a daily dolphin/whale watch cruise. Their brochure claims an 85% chance of sighting a whale or a dolphin. Suppose there is a 68% chance of seeing dolphins and a 13% chance of seeing both dolphins and whales. Make a Venn diagram. Then answer these questions. (a) What is the probability of seeing a whale on the cruise? (Enter your answer to two decimal places.) (b) What is the probability of seeing a whale but not a dolphin? (Enter your answer to two decimal places.) (c) Are "seeing a whale" and "seeing a dolphin" independent events? Yes, the events are independent. No, the events are not independent. eBook

Explanation / Answer

a)P(seeing a whale)=P(seeing at least one)+P(seeing both)-P(seeing dolphin)=0.85+0.13-0.68=0.3

b) P(seeing a whale but nt dolphin) =P(whale)-P(seeing both) =0.3-0.13 =0.17

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