Suppose that 2 books are picked at random from a shelf containing 7 novels, 3 books of poems, and a dictionary. (a) Find the probability that the dictionary is selected. (b) Find the probability that 1 novel and 1 book of poems are selected.

(a) Probability that the dictionary is selected = 0.1818

(b) Probability that 1 novel and 1 book of poems are selected = 0.3818

Step-by-step explanation:

We are given that 2 books are picked at random from a shelf containing 7 novels, 3 books of poems, and a dictionary.

(a) Probability that the dictionary is selected is given by;

Number of ways of selecting a dictionary from total of 1 dictionary from the shelf = = 1

Now, since two books are picked from the shelf from which one is dictionary so another book will be from total 10 books (7 novels + 3 poems), so number of ways for doing this = = 10

Number of ways of selecting total 2 books from total of 11 books from the shelf = = 55

So, required probability = = = 0.1818

(b) Number of ways of selecting 1 novel from total of 7 novels from the shelf = = 7

Number of ways of selecting 1 book of poem from total of 3 books of poems from the shelf = = 3

Number of ways of selecting total 2 books from total of 11 books from the shelf = = 55

So, probability that 1 novel and 1 book of poems are selected =

                                       = = 21/55 = 0.3818

3; 9 is 8 to -4

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.