To find the probability of drawing a number that is a multiple of 4 from a deck numbered 1-20, you first need to determine how many numbers in the range 1-20 are multiples of 4.
Multiples of 4 in the range 1-20 are: 4, 8, 12, and 16.
There are 4 such numbers.
Now, you need to find the total number of possible outcomes, which is the number of cards in the deck, which is 20.
To calculate the probability, you divide the number of favorable outcomes (multiples of 4) by the total number of possible outcomes:
Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)
Probability = 4 (multiples of 4) / 20 (total cards)
Probability = 4/20
Simplify the fraction:
Probability = 1/5
So, the probability of drawing a number that is a multiple of 4 from the deck is 1/5.