Question

fill out the coding blocks below with an instruction of your choice. pay attention to the type of coding blocks. two 6 - sided dice are rolled. what is the probability that the sum is greater than 6? explain some of the dangers of using credit cards. provide an example.

Explanation:

1. First question (probability of dice - roll sum)

Step1: Find total number of outcomes

Each die has 6 sides. When two dice are rolled, by the multiplication principle, the total number of outcomes is $6\times6 = 36$.

Step2: Find number of favorable outcomes

List the pairs of dice - roll results and their sums:
$(1,1)$ sum = 2; $(1,2)$ sum = 3; $(1,3)$ sum = 4; $(1,4)$ sum = 5; $(1,5)$ sum = 6; $(1,6)$ sum = 7;
$(2,1)$ sum = 3; $(2,2)$ sum = 4; $(2,3)$ sum = 5; $(2,4)$ sum = 6; $(2,5)$ sum = 7; $(2,6)$ sum = 8;
$(3,1)$ sum = 4; $(3,2)$ sum = 5; $(3,3)$ sum = 6; $(3,4)$ sum = 7; $(3,5)$ sum = 8; $(3,6)$ sum = 9;
$(4,1)$ sum = 5; $(4,2)$ sum = 6; $(4,3)$ sum = 7; $(4,4)$ sum = 8; $(4,5)$ sum = 9; $(4,6)$ sum = 10;
$(5,1)$ sum = 6; $(5,2)$ sum = 7; $(5,3)$ sum = 8; $(5,4)$ sum = 9; $(5,5)$ sum = 10; $(5,6)$ sum = 11;
$(6,1)$ sum = 7; $(6,2)$ sum = 8; $(6,3)$ sum = 9; $(6,4)$ sum = 10; $(6,5)$ sum = 11; $(6,6)$ sum = 12.
The number of outcomes where the sum is greater than 6 is $6 + 5+4 + 3+2 + 1=21$.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{21}{36}=\frac{7}{12}$.

One danger is high - interest rates. If a cardholder does not pay off the balance in full each month, high interest is charged on the remaining balance. Another danger is the risk of over - spending. The ease of using credit cards can lead consumers to buy more than they can afford. Additionally, there is the risk of fraud, where unauthorized individuals may use the credit - card information for purchases.

Answer:

$\frac{7}{12}$

2. Second question (dangers of credit - cards)