Question
In: Statistics and Probability
Jeff is a sports fan. He has a wish list to see a 1. baseball, 2....
Jeff is a sports fan. He has a wish list to see a 1. baseball, 2. basketball, and 3. football game this year. Two of his friends independently deicde to buy him tickets to one event. John has a probability of selecting tickets to 1,2, and 3 with a probability 1/5, 2/5, and 2/5. Jason has a probability of selecting tickets to 1, 2, and 3, respectively with probability 4/7, 1/7, 2/7, respectively. What is the probability John and Jason give Jeff a ticket to a different type of sporting event? Given the tickets are to different sporting events, what is the probability the event is baseball?
Solutions
Expert Solution
a) probability John and Jason give Jeff a ticket to a different type of sporting event
=P(john give for 1 and Jason for 2+john give for 1 and Jason for 3+john give for 2 and Jason for 1+john give for 2 and Jason for 3+john give for 3 and Jason for 1+john give for 3 and Jason for 2)
=(1/5)*(1/7)+(1/5)*(2/7)+(2/5)*(4/7)+(2/5)*(2/7)+(2/5)*(4/7)+(2/5)*(1/7)=5/7
b) probability the event is baseball given tickets are to different sporting events
=P(ohn give for 1 and Jason for 2+john give for 2 and Jason for 1+john give for 3 and Jason for 1)/P( difffernt tickets) =((1/5)*(1/7)+(1/5)*(2/7)+(2/5)*(4/7)+(2/5)*(4/7))/(5/7)
=19/25
orchestra answered 1 year agoRelated Solutions
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