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#### A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (See figure), and these are equally likely outcomes. What is the probability that it will point at (i) a number greater than 2? (ii) a number less than 9?

5 viewed last edited 1 year ago Anonymous
0  Krishna
0

Step 1: See the given figure and analyse the given information

GIVEN: A game of chance spinning an arrow,which come to rest pointing

any of the number 1,2,3,4,5,6,7,8

So, total number of outcomes = 8

Step 2: Determine the probability that it(arrow) will point at a number greater than 2

List out the numbers greater than 2 = {3, 4, 5, 6, 7, 8}

Favourable outcomes of pointing a number greater than 2  = 6

The probability of pointing a number greater than 2  = \frac{\text{Favourable outcome}}{\text{total number of outcomes}}

= \frac{6}{8}=\ \frac{3}{4}

Step 3: Find the probability that it(arrow) will point at a number less than 9

List out the numbers less than 9 = {1, 2, 3, 4, 5, 6, 7, 8}

Favourable outcomes of pointing a number less than 9 = 8

The probability that arrow will point at a number less than 9 = \frac{\text{Favourable outcome}}{\text{Total number of outcomes}}\

= \frac{8}{8}

= 1