Final answer:
The probability of drawing a card that shows the number 9 from the seven cards is 2 out of 7, which is about 0.2857 or 28.57%.
Step-by-step explanation:
To calculate the probability of drawing a card that shows the number 9 from the seven cards with digits from 7,383,993, we must look at the number of occurrences of the digit 9 and the total number of cards. There are two 9's in the number 7,383,993, and there are a total of seven cards. The probability of drawing a 9 is therefore the number of cards with a 9 divided by the total number of cards.
The formula to calculate the probability, P(9), of drawing a 9 is:
P(9) = Number of 9s / Total number of cards
P(9) = 2 / 7
This simplifies to approximately 0.2857 or 28.57% chance of drawing a card that shows the number 9.