When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.
The probability measures how likely an event to occur. The probability of an event A is defined as:
P(A) = number of ways that event A can occur / all possible outcomes
In the given problem, let x be any number of die's face, then
number of ways x will show up = 1
all possible outcomes = 6
Hence,
P(x) = 1/6
Numbers that are less than 3 is 1 and 3. Therefore,
P (x<3) = P(1) + P(2)
P (x<3) = 1/6 + 1/6 = 2/6 = 1/3
Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3
Learn more about probability here:
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