Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
\begin{tabular}{cc}
Person & Probability \
\hline Anna & $\frac{1}{8}$ \
Irina & $\frac{3}{8}$ \
Avel & $?$ \
Vlad & $\frac{1}{8}$
\end{tabular}

What is the probability that Avel will be driving during any given kilometer?

Choose 1 answer:
(A) $\frac{1}{8}$
(B) $\frac{3}{8}$
(c) $\frac{5}{8}$
() $\frac{8}{8}$

Question

Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
\begin{tabular}{cc} 
Person & Probability \
\hline Anna & $\frac{1}{8}$ \
Irina & $\frac{3}{8}$ \
Avel & $?$ \
Vlad & $\frac{1}{8}$
\end{tabular}

What is the probability that Avel will be driving during any given kilometer?

Choose 1 answer:
(A) $\frac{1}{8}$
(B) $\frac{3}{8}$
(c) $\frac{5}{8}$
() $\frac{8}{8}$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the probability that Avel will be driving, we need to ensure that the sum of all probabilities in the table equals 1. ‖ ‖ step 2 ⋮ The given probabilities are: $$ P( ext{Anna}) = \frac{1}{8}, \quad P( ext{Irina}) = \frac{3}{8}, \quad P( ext{Vlad}) = \frac{1}{8} $$ ‖ ‖ step 3 ⋮ Let $P( ext{Avel}) = x$. The sum of all probabilities should be: $$ \frac{1}{8} + \frac{3}{8} + x + \frac{1}{8} = 1 $$ ‖ ‖ step 4 ⋮ Simplify the equation: $$ \frac{1}{8} + \frac{3}{8} + \frac{1}{8} + x = 1 $$ $$ \frac{5}{8} + x = 1 $$ $$ x = 1 - \frac{5}{8} $$ $$ x = \frac{3}{8} $$ ‖ ∻Answer∻ ***B*** ∻Key Concept∻ ⚹Sum of probabilities in a probability model⚹ ∻Explanation∻ ⚹The sum of all probabilities in a probability model must equal 1. By solving the equation, we find that the probability for Avel is $\frac{3}{8}$.⚹◊What is the missing probability value for Avel in the incomplete probability model provided in the image?⍭ Generate me a similar question◊

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