robin tosses two number cubes 100 times and get a pair of threes 18 times. what is the experimental probability that she will roll a pair of threes on her next toss?
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events. If the cubes are not weighted, previous results do not influence later results.
1/6 * 1/6 = ?
To find the experimental probability of rolling a pair of threes on the next toss, we need to determine the percentage of times it occurred in the previous 100 tosses.
Given that Robin tossed the number cubes 100 times and got a pair of threes 18 times, we can calculate the experimental probability by dividing the number of successful outcomes (pair of threes occurred) by the total number of trials (tosses):
Experimental Probability = Number of Successful Outcomes / Total Number of Trials
In this case, the number of successful outcomes is 18 (a pair of threes occurred) and the total number of trials is 100 (total number of tosses).
Experimental Probability = 18 / 100
Therefore, the experimental probability that Robin will roll a pair of threes on her next toss is 18/100, which can be simplified as 9/50 or 0.18.
To calculate the experimental probability, you need to determine the number of successful outcomes (getting a pair of threes) and divide it by the total number of outcomes (total number of times Robin tossed the number cubes).
In this case, Robin tossed the number cubes 100 times and got a pair of threes 18 times. So, the number of successful outcomes is 18.
To find the total number of outcomes, you need to know how many total combinations are possible with two number cubes. Each number cube has six faces, so there are 6 possible outcomes for each cube. Since Robin tossed two number cubes, there are a total of 6 x 6 = 36 possible outcomes.
Now, you can calculate the experimental probability by dividing the number of successful outcomes (18) by the total number of outcomes (36):
Experimental Probability = Number of Successful Outcomes / Total Number of Outcomes
Experimental Probability = 18 / 36
Experimental Probability = 1/2 or 0.5
Therefore, the experimental probability that Robin will roll a pair of threes on her next toss is 1/2 or 0.5.