Answer:
1/18
Step-by-step explanation:
there are 12 marbles in the bag
P(choose red) = 2/12 = 1/6
P(choose blue after replacement) = 4/12 = 1/3
P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18
Answer: I’m not sure what compliment is but she would have to pick 7 to guarantee that she gets at least 1 blue lollipop
Step-by-step explanation:
There are 9 in total. 6 not blue. There are 3 blue. Assuming she gets terrible luck, she would have to take all of the non blue first which is 6. Then she would take another one to make sure she gets at least 1 blue lollipop
11
A diagonal connects a vertex to another vertex without being a side of the polygon. There are 14 vertices in a 14-gon. This leaves 13 vertices left to connect to (since we cannot connect the vertex to itself). However, two of these vertices will form the sides of the 14-gon. This leaves us with 11 possible diagonals we can draw.
Answer:
24
Step-by-step explanation:
Factorial is applicable only for natural numbers and 0.
0! =1 trivially.
FOr other numbers, factorial is defined as 1x2x...n
For example 1! = 1
2! = 1x2 = 2
and so on.
i.e. n! = product of all natural numbers from 1 to n
= 1x2x....n
Using the above
we have n =4
Natural numbers from 1 to 4 are 1,2,3,4
Find the product of these 4 natural numbers to get 4!
4! = 1x2x3x4 = 24
