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In a class of 6, there are 4 students who are secretly robots. If the teacher chooses 2 students, what is the probability that neither of them are secretly robots?

Respuesta :

GuthrieT
2/6 for the first one the first the second is 1/5, so 2/6=1/3, so 1/3 x 1/5 = 1/15 your answer is 1/15

In a class of 6, 4 students are secretly robots. The probability that neither of them is secretly a robot would be 1/15.  

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.  

P(E) = Number of favorable outcomes / total number of outcomes  

It is given that the Total number of students = 6

Number of secret robots = 4

Two Students can be chosen in [tex]6c_{2}[/tex] ways    

= 6! / 2! 4!      

= 15  

secretly a robot out of 2 can be chosen in 1 way.  

Then the probability that neither of them is secretly a robot

P(E) = Number of favorable outcomes / total number of outcomes        

      = 1/15  

Thus, The probability that neither of them is secretly a robot would be 1/15.  

Learn more about probability here;

https://brainly.com/question/11234923

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