Option c is the correct i.e. the probability of getting a card a multiple of 3 or an odd number is [tex]\frac{2}{3}[/tex].
What is probability?
Probability is the chance that something will happen, or how likely it is that an event will occur.
Formula for finding the probability
Probability of event to happen
P(E) = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
There are twelve cards labeled from 1 to 12.
Therefore,
Sample space = { 1,2,3,4,5,6,7,8,9,10,11,12}
⇒ Total number of outcomes = 12
Number of possible outcomes of getting a card multiple of 3 or an odd number = { 1,3,5,7,9,11,12,6}
⇒ Number of favorable outcomes = 8
so, the probability of getting a card multiple of 3 or an odd number [tex]=\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
=[tex]\frac{8}{12}[/tex]
=[tex]\frac{2}{3}[/tex]
Hence, the probability of getting a card multiple of 3 or an odd number is [tex]\frac{2}{3}[/tex].
Thus, option c is correct.
Learn more about the probability here:
https://brainly.com/question/3837459
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