Crystal's favorite playlist has 80 rock songs, 40 jazz songs, 25 country songs, 30 hip hop songs, and 45 classical music songs. Which of thesestatements is true?

Crystals favorite playlist has 80 rock songs 40 jazz songs 25 country songs 30 hip hop songs and 45 classical music songs Which of thesestatements is true class=

Respuesta :

This problem tests the knowledge of the probability of a random event occuring: of playing a type of song from a variety of different song types

Thus, we have to compute the probability that each type of song is played.

To do this, we need to obtain the total number songs, as follows:

80 + 40 + 25 + 30 + 45 = 220

Thus, the probabilities are now easily computed as follows:

P(rock) = 80/220

P(jazz) = 40/220

P(country) = 25/220

P(hip hop) = 30/220

P(classical) = 45/220

Now:

Option 1 (the first statement in the options) claims that : P(rock) = 2 * P(hip hop)

However, 2 * P(hip hop)