Question

Bailey rolls a pair of dice 12 times, and the sum of 6 came up 5 times to calculate the experimental and theoretical probabilities of rolling a sum of six with a pair of dice

Answer 1

Answers:

Experimental probability =  5/12

Theoretical probability = 5/36

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Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

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The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

• 1+5 = 6
• 2+4 = 6
• 3+3 = 6
• 4+2 = 6
• 5+1 = 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36