Jamie saw claw machine with four colourful push buttons that control different directions. The restaurant has nine identical machines, how many different sections can be chosen for the push buttons?
nCr=9!!/(4!×(9!-4!))=126
How can i find the expected time for this?
N+1/k+1
N number of outcomes
K number of wanted outcomes
To find the expected time for this scenario, we can use the formula N+1/k+1, where N represents the number of outcomes and k represents the number of desired outcomes.
In this case, the number of outcomes (N) is the total number of different sections that can be chosen for the push buttons, which is 126, as you have calculated using the combination formula.
Now, let's say we want to find the expected time it would take to select a specific section. In this case, the number of desired outcomes (k) would be 1 because we are looking for just one particular section.
So, the formula for the expected time would be:
Expected time = N+1/k+1
Expected time = 126+1/1+1
Expected time = 126/2
Expected time = 63
Therefore, the expected time to select a specific section in this scenario is 63.