The probability that the kettle will last more than a year is 0.93. The probability that the kettle will last more than

The probability that the kettle will last more than a year is 0.93. The probability that the kettle will last more than 2 years is 0.87. Find the probability that the kettle will last more than a year, but less than 2 years.

Let event A be such that the kettle will work for more than a year, but less than 2 years;
B – an event such that the kettle will work for more than 2 years;
С – an event such that the kettle will work for exactly 2 years, up to minutes. The probability of this event is zero.
Therefore, (A + B) is an event such that the kettle will work for more than a year.
These are incompatible events and, according to the addition theorem, can be written:
P (A + B) = P (A) + P (B) = 0.93;
P (A) + 0.87 = 0.93;
P (A) = 0.93 = 0.87 = 0.06.
Answer: 0.06.



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