Question

1/2(6+8) =

a) 7
b) 8
c) 9
d) 10

(24-18) times 1/2 =
a) 3
b) 6
c) 12
d) 24

Answer 1

The answers to the arithmetic calculations are a) 7 and a) 3, using the basic order of operations. Additionally, the number of outcomes when flipping a coin and rolling a die is 12, calculated as the product of the outcomes of each individual event.

Step-by-step explanation:

The calculations in the student's question involve basic arithmetic and understanding order of operations, as well as probability. For the first calculation, 1/2(6+8), you first need to perform the operation inside the parentheses, followed by the multiplication:

1. Calculate the sum inside the parentheses: 6 + 8 = 14.
2. Multiply this sum by 1/2: 1/2 * 14 = 7.

The correct answer is a) 7.

For the second calculation, (24-18) times 1/2, follow the same steps:

1. Calculate the difference inside the parentheses: 24 - 18 = 6.
2. Multiply this difference by 1/2: 1/2 * 6 = 3.

The correct answer is a) 3.

For the probability portion with the coin and the die, we need to multiply the two numbers of outcomes. A fair coin has 2 outcomes (heads or tails), and a fair six-sided die has 6 outcomes. Thus, the total number of outcomes is 2 * 6 = 12.