multiples of 6 = 6, 12, 18, 24 , 30, 36 ,42 , 48
multiples of 8 = 8, 16, 24,32,40,48
24 & 48 are the common multiples
so there is a 2 out of 48 chance which is 2/48 which reduces to 1/24 probability
The probability of randomly drawing a card that is a multiple of both 6 and 8 is:
P = 1/24 = 0.42
Assuming that all the cards have the same probability of being randomly drawn, we can conclude that the probability of randomly drawing a number that is multiple of both 6 and 8 is equal to the quotient between the number of cards that are multiples of both 6 and 8, and the total number of cards on the deck.
The multiples of 6 are:
6*1 = 6
6*2 = 12
6*3 = 18
6*4 = 24
6*5 = 30
6*6 = 36
6*7 = 42
6*8 = 48
The multiples of 8 are:
8*1 = 8
8*2 = 16
8*3 = 24
8*4 = 32
8*5 = 40
8*6 = 42
The common multiples are: 24 and 42.
Then out of 48 cards, there are only two that are multiples of both 6 and 8, then the probability of randomly choosing one of these two is:
P = 2/48 = 1/24 = 0.042
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
