An experiment consists of rolling 2 fair dice. How do you find each probability of P(total shown = 5)?

1 Answer
Tony B
Apr 5, 2018

#1/9#

Explanation:

Statistics on the whole is about counting.

A die has 6 values so if you throw two dice and add up their numbers you have the potential of arriving at #6xx6=36# posible combinations as below:
Tony B

If you count all the possible combinations that give 5 and express this as a fraction of all possible combinations you have your probability. It is part of the whole.

#("count of "color(red)("four")" numbers 5's")/("count of all numbers "=color(green)(36))#

So probability of getting a number 5 #->P(5)=color(red)(4)/color(green)(36) = 2/18=1/9#

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