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2 years ago

NEED HELP 10 POINTS

Mathematics

1 answer:

kobusy [5.1K]2 years ago

4 0

Answer:

1/28

Step-by-step explanation:

Before picking 1st song

Total songs = 8

Rock songs = 2

Probability of picking a rock song as the first song,

= 2 rock songs out of 8 total songs remaining

= 2/8

After picking 1st song

Total songs left over = 7

Rock songs left over = 1

Hence, Probability of picking a rock song as the second song,

= 1 rock song out of 7 total songs remaining

= 1/7

Probability of picking 2 consecutive rock songs,

= $\frac{2}{8}$ x $\frac{1}{7}$

= $\frac{1}{28}$

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___

I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

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