Use the image to answer the question.

A circular dial is divided into 10 equal parts from the origin toward the circumference. The parts are labeled clockwise from 1 to 28 in increments of 3. Beginning directly to the right, they are marked as 1, 4, 7, 10, 13, 16, 19, 22, 25, and 28. A needle is fixed vertically at the center, with the arrow pointing directly upward to the line between 22 and 25 at the top center of the dial.

If this spinner is to be spun once, how likely will it stop on a multiple of 9?

There are three multiples of 9 on the spinner - 9, 18, and 27. Out of the 28 possible outcomes, 3 are multiples of 9. Therefore, the probability of the spinner stopping on a multiple of 9 is 3/28.

Is it unlikely to happen or likely to happen or certain to happen or impossible to happen?

It is considered unlikely to happen since the probability is less than 50% (3/28 is approximately 0.107).

There are 25 balls in a jar. Twelve (12) balls are red, 10 balls are blue, and 3 balls are white. Which of the following describes the likelihood of randomly picking a white ball?(1 point)

Responses

impossible
impossible

likely
likely

very unlikely
very unlikely

less likely than not

The likelihood of randomly picking a white ball is "very unlikely" since there are only 3 white balls out of 25 total balls, making it less likely compared to the red or blue balls.

Which event is most likely to happen?(1 point)

Responses

getting a 6 when rolling a single dice once
getting a 6 when rolling a single dice once

getting a head from a single toss of a fair coin
getting a head from a single toss of a fair coin

randomly picking a vowel letter from the English alphabet
randomly picking a vowel letter from the English alphabet

 randomly picking a consonant from the English alphabet

Getting a head from a single toss of a fair coin is the most likely event to happen out of the options provided. This is because the probability of getting a head when tossing a fair coin is 0.5 (50%), which is higher than the probability of getting a 6 when rolling a single dice (1 out of 6 or approximately 0.167), and the probability of randomly picking either a vowel or consonant from the English alphabet (5 out of 26 or approximately 0.192 and 21 out of 26 or approximately 0.808, respectively).