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$A box contains eight cards labeled P,Q,R,S,T,U,V, and W. One card will be randomly chosen. What is the probability of choosing a letter from P to T ? Write your answer as a fraction in simplest form.$

A box contains eight cards labeled $P, Q, R, S, T, U, V$ , and $W$ . One card will be randomly chosen. What is the probability of choosing a letter from $P$ to $T$ ? $\newline$ Write your answer as a fraction in simplest form.

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Probability of simple events

Full solution

Q. A box contains eight cards labeled

P, Q, R, S, T, U, V

, and

W

. One card will be randomly chosen. What is the probability of choosing a letter from

P

to

T

?

\newline

Write your answer as a fraction in simplest form.

Identify Total Cards: There are $8$ cards total, and we need to find out how many are labeled from $P$ to $T$ .
Count $P$ to $T$ : Count the cards from $P$ to $T$ : $P, Q, R, S, T$ . That's $5$ cards.
Calculate Probability: Probability is the number of favorable outcomes over the total number of possible outcomes.
Calculate Probability: So the probability is $5$ (from $P$ to $T$ ) divided by $8$ (total cards).
Simplify Fraction: $5$ divided by $8$ is $\frac{5}{8}$ , and that's already in simplest form.

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