Question

Betty is listening to a playlist of 16 songs. She randomly shuffles the tracks on the playlist after each song. What is the probability to the nearest tenth of a percent that the same song is played twice in a row?

Answer 1

The probability of the same song being played twice in a row is 1 or 100%.

Step-by-step explanation:

To find the probability of the same song being played twice in a row, we need to calculate the probability of any song being played twice and then multiply it by the number of songs.

The probability of any song being played twice in a row is 1/16, because there are 16 songs in the playlist and any one of them could be the repeated song.

Therefore, the probability of the same song being played twice in a row is (1/16) * 16 = 1.

So, the probability is 1 or 100%.

Answer 2

Answer: 6.3%

Step-by-step explanation:

The probability that the same song is played twice = Number of favourite outcomes / Total outcomes.

= 1 / 6

= 0.0625

in per cent = 6.25%

Probability to the nearest tenth of % = 6.3%

.: Probability - Probability is a number that reflects the chance or likelihood that a particular event will occur.
Probability can be expressed as proportional that ranging from 0 to 1.

They can also be expressed as percentages ranging from 0% to 100%.