Final answer:
The probability that Poonam selects a card which is a multiple of 7 from cards numbered 7 to 40 is 5/34, which is approximately 0.1471 or 14.71%.
Step-by-step explanation:
To find the probability that Poonam selects a card which is a multiple of 7 from cards numbered 7 to 40, we first determine the number of cards that meet the condition (multiples of 7 within the range) and then divide that by the total number of cards.
- Multiples of 7 between 7 and 40 (inclusive) are: 7, 14, 21, 28, 35.
- There are 5 cards that are multiples of 7.
The total number of cards in the range from 7 to 40 is 40 - 7 + 1 = 34.
The probability of selecting a multiple of 7 is the number of favorable outcomes divided by the total number of possible outcomes. Therefore, the probability is:
P(multiple of 7) = Number of multiples of 7 / Total number of cards = 5 / 34 ≈ 0.1471
Thus, Poonam has approximately a 14.71% chance of selecting a card that is a multiple of 7.