Question

概率题，求解

The probability for a customer of ABC Market to buy meat is 0.38. If a customer buys meat, the probability that he/she also buys vegetable is 0.67. If a customer does not buy any meat, the probability that he/she buys vegetable is 0.45. Let the event of buying meat be 𝑀, and the event of buying vegetable be 𝑉.

(i)Find the probabilities of the following events. Correct your answers to 2 decimal places.
(1) A customer buys both meat and vegetable from ABC Market.
(2) A customer buys meat or vegetable from ABC Market.

(ii) Explain if event 𝑀 and event 𝑉 are mutually exclusive or not.

Answer 1

i.(1)P(MandN)=0.38*0.67=0.2645≈0.27

i.(1)P(MorN)=0.38+0.45=0.83
ii. event M and event N are not mutually exclusive because they can happen at the same time.For example，a customer buys both meat and vegetable from ABC Market.