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A Game Consists of Spinning Arrow Which Ccomes to Rest Pointing at One of the Number 1,2,3,4,5,6,7,8,9,10,11,12; as Shown Below - ICSE Class 10 - Mathematics

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Question

A game consists of spinning arrow which ccomes to rest pointing at one of the number 1,2,3,4,5,6,7,8,9,10,11,12; as shown below       

  

If the outcomes are equally likely, find the probability that the pointer will point at : 

(1) 6

(2) an even number 

(3) a prime number 

(4) a number greater than 8 

(5) a number   less than or equal to 9 

(6) a number between 3 and 11 

Solution

Total number of possible outcomes =12 

(1) Number of favorable outcomes for 6=1 

P(the pointer will point a 6) =` 1/12 ` 

(2)favorable outcomes for an even number are 2,4,6,8,10,12 

Number of favorable outcomes=6 

P( the pointer will be at an even number)=`6/12=1/2` 

(3) Favorable outcomes for a prime number are 2,3,5,7,11 

Number of favorable outcomes=5 

p(the pointer will be at a prime number)=`5/12` 

(4) Favourable outcomes for a number greater than 8 are 9,10,11,12 

Number of favorable  outcomes=4 

P(the pointer will be at a number greater than 8 )`=4/12=1/3` 

(5) Favorable outcomes for a number less than or equal  to are 1,2,,3,4,5,6,7,8,9 

Number of favorable outcome =9 

p(the pointer will be at a number less than or equal to 9)= `9/12=3/4` 

(6) Favorable outcomes for a number between 3 and 11 are 4,5,6,7,8,9,10 

Number of favorable outcomes=7 

P(the pointer will be at a number 3 and 11) =`7/12`

  Is there an error in this question or solution?
Solution A Game Consists of Spinning Arrow Which Ccomes to Rest Pointing at One of the Number 1,2,3,4,5,6,7,8,9,10,11,12; as Shown Below Concept: Probability - A Theoretical Approach.
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