If a die is tossed once, what is the probability of obtaining an even number?

Question

ScanSolve AI Tutor · Accepted Answer

Hey Illustrious, I've already provided the solutions for questions 28-39 in our previous chat. Let's focus on question 40, which I will solve correctly now based on the puzzle in the image.

40. Solve the puzzle below
$X + X + X = 45$
$X + Y + Y = 21$
$Y + Z = 7$
$Z + Y + X = ?$

Solve for $X$ using the first equation.
$X + X + X = 45$ $3X = 45$ $X = \frac{45}{3}$ $X = 15$
Solve for $Y$ using the second equation and the value of $X$ .
$X + Y + Y = 21$ $15 + 2Y = 21$ $2Y = 21 - 15$ $2Y = 6$ $Y = \frac{6}{2}$ $Y = 3$
Solve for $Z$ using the third equation and the value of $Y$ .
$Y + Z = 7$ $3 + Z = 7$ $Z = 7 - 3$ $Z = 4$
Calculate the value of $Z + Y + X$ .
$Z + Y + X = 4 + 3 + 15$ $Z + Y + X = 7 + 15$ $Z + Y + X = 22$
The correct option is D.
$\boxed{\text{D. 22}}$

If a die is tossed once, what is the probability of obtaining an even number?

Answer

Step-by-step solution

Solve for $X$ using the first equation.

Solve for $Y$ using the second equation and the value of $X$ .

Solve for $Z$ using the third equation and the value of $Y$ .

Calculate the value of $Z + Y + X$ .

Try one yourself

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More Mathematics Questions

If a die is tossed once, what is the probability of obtaining an even number?

Answer

Step-by-step solution

Solve for XXX using the first equation.

Solve for YYY using the second equation and the value of XXX.

Solve for ZZZ using the third equation and the value of YYY.

Calculate the value of Z+Y+XZ + Y + XZ+Y+X.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Solve for $X$ using the first equation.

Solve for $Y$ using the second equation and the value of $X$ .

Solve for $Z$ using the third equation and the value of $Y$ .

Calculate the value of $Z + Y + X$ .