McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
4. Simulations
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Exercise 25 Page 914

Find the number of situations where a player rolled a number greater than 4 at least 2 times and divide it by the total number of trials, 50.

27/50

Practice makes perfect

We are asked to find the probability that a player will roll a number greater than 4 two or more times in 5 rolls based on Alberto's experiment. Let's look at the given data.

Number of Rolls Greater Than 4 Frequency
0 8
1 15
2 18
3 9
4 0
5 0
First, let's find the number of situations in which a player rolled a number greater than 4 two or more times. To do that, we can find the numbers of situations where a player rolled a number greater than 4 two, three, four, and five times.
Number of Rolls Greater Than 4 Frequency
0 8
1 15
2 18
3 9
4 0
5 0

If we add the corresponding frequencies of these situations, we will find the number of times a player rolled a number greater than 4 two or more times.

Number of Rolls Greater Than 4 Frequency
0 8
1 15
2 or more times 18+9+0+0=27

To find the experimental probability that a player rolled a number greater than 4 two or more times, we need to divide the frequency of this situation, 27, by the total number of trials, 50. P(2or more times)=27/50=0.54 The probability is equal to 2750, which can be also written as 0.54.