Question

Richard has two six-sided Dice and 1 quarter. he is conducting an experiment to test the probability of rolling a sum of 7 using the dice and then flipping a head on the coin. What is the correct probability.a. 1/6b. 1/24c. 1/12d. 1/18

Answer 1

The 2 dice are six-sided and the quarter is a coin with head and tail.

The probability that you will roll a sum of 7 can be calculated below

Rolling a sum of 7 can be

(1, 6)(2, 5)(3, 4)(4, 3)(5, 2)(6, 1)

`p(\text{ sum of 7)=}\frac{favorable\text{ outcome}}{\text{total outcome}}=(6)/(36)=(1)/(6)`

The probability of flipping a head can be calculated below

`p(H)=(1)/(2)`

Therefore,

`p(\text{ sum of 7 and a head)=}(1)/(6)*(1)/(2)=(1)/(12)`