Question

Hiro rolls a fair pair of six-sided dice. The sample space of all possible outcomes is shown below.

Answer 1

Answer: $\dfrac{11}{36}$

Step-by-step explanation:

Total outcomes for rolling a pair of six-sided dice n(S)= 6 x 6 =36

Let A be the event that the first die is one and B be the event that the sum of the dice is eight.

A = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)}

P(A)= $=\dfrac{n(A)}{n(S)}=\dfrac{6}{36}$

B= {(2,6), (6,2), (3,5), (5, 3), (4,4)}

P(B)= $=\dfrac{n(B)}{n(S)}=\dfrac{5}{36}$

A ∩ B = Ф

P(A ∩ B)=0

P(A or B)= P(A)+P(B)+P(A∩ B)

$=\dfrac{6}{36}+\dfrac{5}{36}+0\\=\dfrac{11}{36}$

Hence, P(A or B) = $\dfrac{11}{36}$