Question

Kenya rolls a fair, six-sided die, and an arrow is spun on a spinner which is shown below. She then finds the sum of the values. The sections on the spinner are all the same size. Match each event with the likelihood of the event occurring. sum is less than 5 sum is odd sum is greater than 10 sum is a two-digit number sum is a multiple of 3 unlikely event arrowBoth likely event arrowBoth most likely event arrowBoth

Answer 1

Answer:

Step-by-step explanation:

To analyze the likelihood of each event occurring, let's break down the possible outcomes of rolling the die and spinning the arrow.

The possible outcomes of rolling a fair, six-sided die are: {1, 2, 3, 4, 5, 6}

And the possible outcomes of spinning the arrow are: {1, 2, 3, 4, 5, 6}

Let's find the sum for each combination of outcomes:

Sum is less than 5:

Possible outcomes: {1+1, 1+2, 1+3, 2+1, 2+2, 3+1}

Number of favorable outcomes: 6

Sum is odd:

Possible outcomes: {1+1, 1+3, 1+5, 2+1, 2+3, 2+5, 3+1, 3+3, 3+5, 4+1, 4+3, 4+5, 5+1, 5+3, 5+5, 6+1, 6+3, 6+5}

Number of favorable outcomes: 18

Sum is greater than 10:

Possible outcomes: {5+6, 6+5, 6+6}

Number of favorable outcomes: 3

Sum is a two-digit number: (There are no two-digit numbers that could be formed from adding a number on the die to a number on the spinner, so the likelihood of this event is 0.)

Sum is a multiple of 3:

Possible outcomes: {1+2, 1+5, 2+1, 2+4, 3+3, 3+6, 4+2, 4+5, 5+1, 5+4, 6+3, 6+6}

Number of favorable outcomes: 12

Now, let's match each event with the likelihood of the event occurring:

Unlikely event: Sum is a two-digit number

Likely events: Sum is less than 5, Sum is odd, Sum is a multiple of 3

Most likely event: Sum is odd