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Difficulty: EasySingle Event Probability

An armory has a total of 5050 training rifles on a rack. Exactly 1515 of these rifles are equipped with laser sights. If a recruit is randomly issued one of these training rifles, what is the probability, expressed as a decimal, that they receive a rifle with a laser sight?

Answer: 0.3

Answer

0.3
The probability of a single event is calculated by dividing the number of specific desired outcomes by the total number of possible outcomes. In this scenario, there are 15 rifles with laser sights out of a total of 50 rifles in the armory. Therefore, the probability is 15/50. To express this as a decimal, you can simplify the fraction by dividing the numerator and denominator by 5 to get 3/10, which easily converts to 0.3.

Step-by-Step Solution

1
Determine the total number of possible outcomes.
50
This is the total number of training rifles available on the rack.
2
Determine the number of favorable outcomes.
15
This is the number of training rifles equipped with laser sights, which represents the target event.
3
Calculate the probability by dividing the favorable outcomes by the total possible outcomes.
15 / 50 = 3 / 10 = 0.3
The basic formula for single event probability is the ratio of target outcomes to total outcomes.

Key Concept

Single Event Probability
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Single Event Probability

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