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On a camping trip, Whitney kept a log of the types of snakes she saw. She noted their colors and approximate lengths. $\newline$ The probability that a snake is brown is $0.4$ , the probability that it is under $1$ foot long is $0.9$ , and the probability that it is brown and under $1$ foot long is $0.3$ . $\newline$ What is the probability that a randomly chosen snake is brown or under $1$ foot long? $\newline$ Write your answer as a whole number, decimal, or simplified fraction.

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Find probabilities using the addition rule

Full solution

Q. On a camping trip, Whitney kept a log of the types of snakes she saw. She noted their colors and approximate lengths.

\newline

The probability that a snake is brown is

0.4

, the probability that it is under

1

foot long is

0.9

, and the probability that it is brown and under

1

foot long is

0.3

.

\newline

What is the probability that a randomly chosen snake is brown or under

1

foot long?

\newline

Write your answer as a whole number, decimal, or simplified fraction.

Define Events A and B: Let $A$ be the event that a snake is brown, and $B$ be the event that it's under $1$ foot long. We know $P(A) = 0.4$ , $P(B) = 0.9$ , and $P(A \text{ and } B) = 0.3$ .
Calculate $P(A \text{ or } B)$ : We're looking for $P(A \text{ or } B)$ , which is $P(A) + P(B) - P(A \text{ and } B)$ .
Substitute Values: So, $P(A \text{ or } B) = 0.4 + 0.9 - 0.3$ .
Final Calculation: Doing the math, $P(A \text{ or } B) = 1.0$ .

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