) Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected, the probability of arriving place B is 9/10. (a) What is the probability that professor will arrive at place B

Complete Question

Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected,the probability of arriving place B is 9/10.

(a) What is the probability that professor will arrive at place B?

(b) If Professor Jin arrives at place B, what is the probability that she chooses road IV?

a

b

Step-by-step explanation:

From the question we are told that

  The number of ways from A to B is  n =  4

   The  probability if road 1 is selected is  

   The  probability if road 2 is selected is  

    The  probability if road 3 is selected is

    he  probability if road 4 is selected is

The probability that professor will arrive at place B is mathematically represented as

If Professor Jin arrives at place B, what is the probability that she chooses road IV is mathematically represented as

=>    

=>      

here is the

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