Jay and Brett are using the spinners shown to play a board game. For each turn, a player must spin both spinners to determine what direction to move and how many spaces to move.%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AWhat is a reasonable prediction for the number of turns that Brett will move backwards at least 1 space out of 40 turns?

Answer 1

To make a reasonable prediction, we can look at the probabilities of spinning a direction that results in moving backwards on each spinner.

On the first spinner, Brett has a 50% chance of moving backwards (the arrow is pointing left) and a 50% chance of moving forwards (the arrow is pointing right).

On the second spinner, Brett has a 25% chance of moving backwards (1 out of 4 sections are red) and a 75% chance of moving forwards (3 out of 4 sections are green).

Multiplying the probabilities of moving backwards on each spinner, we get:
50% x 25% = 12.5%

Therefore, for each turn, Brett has a 12.5% chance of moving backwards at least 1 space.

Out of 40 turns, it is reasonable to predict that Brett will move backwards at least 1 space on 5 turns (40 turns x 12.5%).