Dree rolls a strike in 6 out of the 10 frames of bowling. What is the
experimental probability that Dree will roll a strike in the first frame of the next game? Explain why a number cube would not be a good way to
simulate this situation.
To find the experimental probability, we need to divide the number of successful outcomes by the total number of outcomes. In this case, the number of successful outcomes is 6 since Dree rolls a strike in 6 out of the 10 frames. The total number of outcomes is 10 since there are 10 frames in total. Therefore, the experimental probability of Dree rolling a strike in the first frame of the next game is 6/10, which simplifies to 3/5 or 0.6.
Using a number cube, also known as a regular six-sided dice, would not be a good way to simulate this situation because a number cube has equally likely outcomes of numbers from 1 to 6. However, in bowling, there are only two possible outcomes for each roll - either a strike or not a strike. A regular number cube cannot accurately represent the two outcomes since it has six outcomes. Hence, using a number cube would not give a realistic simulation of Dree's chances of rolling a strike in the first frame of the next game.
To calculate the experimental probability, we need to find the ratio of successful outcomes (strikes in the first frame) to total outcomes (total number of frames). In this case, Dree has rolled a strike in 6 out of 10 frames, so the experimental probability is 6/10, which simplifies to 3/5 or 0.6.
A number cube, also known as a standard six-sided die, would not be a good way to simulate this situation because it only has 6 possible outcomes (number 1 to 6). The event of rolling a strike in the first frame does not fit within those limited outcomes, so a number cube would not provide an accurate model for this scenario. In bowling, there are more than 6 possible outcomes for each roll, including strikes, spares, and different numbers of pins knocked down. Therefore, a more appropriate simulation method would be needed, such as using a computer program or physical simulation to replicate the true conditions of a bowling game.
prob = 6/10 = 3/5
a cube has 6 sides, so division by 6 would be the model for probs, we need a division by 5 or 10 or 15 ,etc