State the information given in the question in probability

Reference no: EM13644760

In a remote tropical region, there is a direct road from A to B but it is impassable about 50% of the time due to rain. An alternative route passes through a third location C. Suppose the road from A to C is passable 75% of the time, while the road from C to B is passable 70% of the time. Also, from past experience, if the road from A to C is passable, then the road from C to B is passable 80% of the time, and if the route from A to C to B is passable, then the direct route from A to B also has an 80% chance of being passable.

a) State the information given in the question in probability notation.

b) What is the probability a traveller can get from A to B?

c) A traveller journeys from A to C and stays overnight. During the night, rain makes the road from A to C impassable. What is the probability the traveller can still get from C to B?

Reference no: EM13644760

Questions Cloud

What is the heat supplied to the plant by the steam if the : steamboat springs geothermal power plant in nevada operates between a steam temperature of 220 c and an ambient

500 trials where each trial consists of tossing four coins : 500 trials where each trial consists of tossing four coins and counting the number of heads. find the number of cases

A university wants to know whether there is a difference in : a university wants to know whether there is a difference in the proportions of female and male students in a two

A 102 x 10-3 microf capacitor has an initial charge of 0100 : a 1.02 x 10-3 microf capacitor has an initial charge of 0.100 c. when a resistor is connected across the capacitor

State the information given in the question in probability : in a remote tropical region there is a direct road from a to b but it is impassable about 50 of the time due to rain.

22-dimethyl-1-chlorobutane a primary alkyl halide and : 22-dimethyl-1-chlorobutane a primary alkyl halide and 2-chlorobutane a secondary alkyl halide while

How much water must be injected to reduce the pressure in : a rigid insulated 1.4 m3 container initially contains steam at 1.4 mpa and a quality of 85. liquid water at 10 deg c is

A jogger travels a route that has two parts the first is a : a jogger travels a route that has two parts. the first is a displacement of 2.80 km due south and the second involves a

Horace hadley has just programmed a superb ocr package : horace hadley has just programmed a superb ocr package called read-right pun unintended that has an average error rate

User Account

All Pages