Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13

0 ; 2/9 ; 1

Step-by-step explanation:

In a roll of two dice ;

The sample space = (Number of faces on die)^number of dice rolled = 6^2 = 36

The total possible outcome = sample space = 36

The probability of an event (A) :

P(A) = number of required outcome / number of total possible outcomes

find the probability for total: a) 1,

P(total of 1)

Number of 1 total = 0

Hence, P(total of 1) = 0

b) 4 or 6;

Number of 4 total = 3

Number of 6 total = 5

3 /36 + 5 / 36 = 8/36 = 2/9

c) <13

P(total < 13)

Number of total < 13 = 36

36 / 36 = 1

50=33x+22

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq