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17 April, 19:37

You roll a six-sided die. Find the probability of each of the following scenarios.

(a) Rolling a 4 or a number greater than 3

(b) Rolling a number less than 5 or an even number

(c) Rolling a 4 or an odd number

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  1. 17 April, 20:26
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    Step-by-step explanation:

    A six-sided die has the following outcomes in the six sides, 1,2,3,4,5,6

    a) To determine the probability of rolling a 4 or a number greater than 3 ,

    There are a total of six possible outcomes when a die is rolled

    You can get a 4 once in a throw.

    Probability of rolling a 4 is 1/6

    Also, there are three numbers greater than 3.

    Probability of rolling a number greater than 3 is 3/6 = 1/2

    The events are non mutually exclusive because the possibility of a 4 is common to both outcomes. We would subtract the probability of one 4 which equals 1/6. Therefore

    The probability of rolling a 4 or a number greater than 3 is 1/6 + 1/2 - 1/6 = 1/2

    (b) Rolling a number less than 5 or an even number

    There are 4 numbers that are lesser than 5.

    Probability of rolling a number less than 5 is 4/6 = 2/3

    There are 3 even numbers

    Probability of rolling an even number is 3/6 = 1/2

    The events are non mutually exclusive because the possibility of a 2 and a 4 is common to both outcomes. We will subtract the probability of a 2 and a 4 which equals 2/6 = 1/3. Therefore

    The probability of rolling a number less than 5 or an even number is

    2/3 + 1/2 - 1/3 = 5/6

    (c) Rolling a 4 or an odd number

    You can get a 4 once in a throw.

    Probability of rolling a 4 is 1/6

    There are three odd numbers. Therefore,

    Probability of rolling an odd number is 3/6 = 1/2

    Therefore

    Rolling a 4 or an odd number is

    1/2 + 1/6 = 4/6 = 2/3
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