each student in mr. joness class has two standard number cubes. each student records the number of rolls it…

each student in mr. joness class has two standard number cubes. each student records the number of rolls it takes until he or she rolls doubles. the results are shown on the dot - plot. based on the results, what is the probability of needing exactly 6 rolls to get doubles? 1/5 based on the results, what is the probability of needing more than 6 rolls to get doubles?

each student in mr. joness class has two standard number cubes. each student records the number of rolls it takes until he or she rolls doubles. the results are shown on the dot - plot. based on the results, what is the probability of needing exactly 6 rolls to get doubles? 1/5 based on the results, what is the probability of needing more than 6 rolls to get doubles?

Answer

Explanation:

Step1: Count total number of data - points

Count all the dots on the dot - plot. There are 2 + 1+ 3+ 4+ 6+ 5+ 1+ 2 = 24 dots.

Step2: Probability of needing exactly 6 rolls

The number of dots at 6 on the dot - plot is 5. The probability (P(X = 6)) of needing exactly 6 rolls to get doubles is the number of times 6 occurs divided by the total number of data - points. So (P(X = 6)=\frac{5}{24}).

Step3: Probability of needing more than 6 rolls

The number of dots at 7, 8, 9, 10, 11 are 1, 2, 0, 0, 0 respectively. The number of data - points for more than 6 rolls is 1 + 2=3. The probability (P(X>6)) of needing more than 6 rolls to get doubles is (\frac{3}{24}=\frac{1}{8}).

Answer:

  1. (\frac{5}{24})
  2. (\frac{1}{8})