Q:

A student selects his answers on a true/false examination by tossing a coin (so that any particular answer has a .50 probability of being correct). He must answer at least 70% correctly in order to pass. Find his probability of passing when the number of questions is

Accepted Solution

A:
Answer:If the exam has 10 questions, the probability will be 0,0078Step-by-step explanation:To get the probability  equally likely of having the question right we use the following formulaP=# of possibilities that meet the condition / #of equally likely possibilities.Each question has the following probability of being right.P=1/2In this case,  we considered 10 questions  as the total exam. So, we have to get 7 questions right to pass the exam (70%). To get the probability of several independent events occurring together, we just multiply the probability of the all the events. P(passing the exam)=1/2*1/2*1/2*1/2*1/2*1/2*1/2=0,0078