Question

A spinner is divided into eight equal-sized sections, numbered 1 to 8, inclusive. What is true about spinning the spinner one at a time? Check all that apply. 1. S={1,2,3,4,5,6,7,8} 2. If A is a subset of S, A could be {1,2,3} 3. If A is a subset of S, A could be {7,8,9} 4. If a subset A represents spinning a number less than 4, it’s sample space is A={1,2,3,4} 5. If a subset A represents the complement of spinning an odd number, it’s sample space is A={2,,4,6,8}

Answer 1

Answer with explanation:

The number of section into which Spinner is divided =Number from 1 to 8={1,2,3,4,5,6,7,8}

Now, Spinner is Spun once .

The Correct statement among the given statements are:

→1. S={1,2,3,4,5,6,7,8}

→2. If A is a subset of S, A could be {1,2,3} , because , {1,2,3}⊂{1,2,3,4,5,6,7,8}.

→5.If a subset A represents the complement of spinning an odd number, it’s sample space is A={2,,4,6,8}

A=odd number={1,3,5,7}

A's Complement=Even Number={2,4,6,8}

Why, not 3 and 4, because, The number of elements in the set is from 1 to 8, but the subset has three elements, 7,8, and 9.Element, 7 ∈ S, 8∈S, but , 9∈S.

Also, number less than 4, is equal to ={1,2,3}, but in the statement, it is given that,number less than 4, it’s sample space is A={1,2,3,4},which is Incorrect.

Answer 2

1,2 and 5 are true

Explanation:

We are given that a spinner is divided into eight equal sized sections and numbered 1 to 8

Sample space,S={1,2,3,4,5,6,7,8}

1.S={1,2,3,4,5,6,7,8}

It is true because the sample space=S={1,2,3,4,5,6,7,8}

2.If A is a subset of S,A could be {1,2,3}

It is true because if A is a subset of S then all element of set A should be in S.

3.If A is a subset of S, A could be {7,8,9}.

It is not true because if A is a subset of S then all element of set A should be in S and 9 does not belongs to S.

4.If a subset a represents spinning a number less than 4, it's sample space is A={1,2,3,4}

It is not true because A ={1,2,3}

5.If a subset A represents the complement of spinning an odd number, it's sample space is A={2,4,6,8}

Odd number={1,3,5,7}

A={1,2,3,4,5,6,7,8}-{1,3,5,7}={2,4,6,8}

Hence, it is true.