ACHIEVED
Fig.1. Using a Dice application program (above) will save you a lot of time during the assessment.
PROBABILITY
How Many 6's when
FIVE DICE are rolled
We want to investigate a situation involving elements of chance using the probability process. To get Achieved we need to meet the criteria outlined by the statistical enquiry process. In other words the 5 steps of PPDAC.
Problem
I wonder how many 6's I would get when 5 dice are rolled. I think it will be hard to get 6's on all 5 dice, maybe once or twice.
plan
I am going to roll 5 dice together and count the number of 6's that show up on the dice. I will roll the 5 dice 50 times because this will improve accuracy. The possible outcomes or number of 6's showing up from this experiment could be: 0, 1, 2, 3, 4, or 5
I will record the results in a frequency table and graph the frequency against the number of 6's
I will record the results in a frequency table and graph the frequency against the number of 6's
data
Record of my results
analysis
Looking at my graph, I got 1 six the most. This happened 25 times out of 50 which is a probability of 0.5. I notice that the shape of the distribution of 6's is skewed to the right with most of the frequency occurring with zero or one 6 obtained by rolling 5 dice.
conclusion
The most common number of sixes was 1 and this happened 50% of the time. I was incorrect when I said I would expect 4 or 5 sixes to be obtained once or twice because I didn't get any at all in 50 trials. From these results I would likely get 0 or 1 sixes when I roll 5 dice the most and less likely to get 3, 4 or 5 sixes when I roll the dice.