Question

Matty’s piano book includes 15 songs in the key of C, 10 in the key of G, and 5 in the key of F. The songs from all three keys appear in random order. Over the past month, Matty has randomly opened his piano book to a song in the key of C 80 times, the key of G 30 times, and the key of F 10 times. What are the theoretical and experimental probabilities that the next song Matty randomly picks will be in the key of G?

Answer 1

The theoretical probability of picking a song in the key of G is 1/3, while the experimental probability, based on Matty's past experiences, is 1/4.

Step-by-step explanation:

The question asks about the theoretical and experimental probabilities that the next song Matty randomly picks from his piano book will be in the key of G.

The theoretical probability is found by dividing the number of songs in the key of G by the total number of songs. In this case, there are 10 songs in the key of G out of a total of 30 songs (15 C + 10 G + 5 F), so the theoretical probability is 10/30 or 1/3.

The experimental probability is based on Matty's past experiences and is found by dividing the number of times he has already picked a song in the key of G by the total number of times he has picked any song. Matty has picked a song in the key of G 30 times and has picked any song 120 times (80 C + 30 G + 10 F), so the experimental probability is 30/120 or 1/4.

Answer 2

15% chanse

Step-by-step explanation:

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