A box containing cards numbered 6 to 50 . A card is drawn at random fr...
Given numbers are 6, 7, 8, 9,…,50.
Number of these numbers = 50 - 5 = 45.
Perfect square numbers from these are 3^2, 4^2, 5^2, 6^2, 7^2.
Their number is 5.
∴ P(getting a perfect square number) = 5/45 = 1/9.
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A box containing cards numbered 6 to 50 . A card is drawn at random fr...
Probability of drawing a card with a perfect square number from the box:
To find the probability of drawing a card with a perfect square number from the box, we need to first determine the total number of cards in the box and the number of cards with perfect square numbers.
Step 1: Determine the total number of cards in the box:
Given that the box contains cards numbered from 6 to 50, we need to find the total number of cards in this range.
The range of numbers from 6 to 50 can be written as: 6, 7, 8, 9, ..., 50.
To find the total number of cards, we need to count the numbers in this range. We can subtract the starting number (6) from the ending number (50) and add 1 to include both the starting and ending numbers.
Total number of cards = (50 - 6) + 1 = 45 + 1 = 46
Step 2: Determine the number of cards with perfect square numbers:
Perfect square numbers are the numbers that can be expressed as the product of an integer multiplied by itself.
The perfect square numbers between 6 and 50 are 9, 16, 25, 36, and 49.
Number of cards with perfect square numbers = 5
Step 3: Calculate the probability:
The probability of drawing a card with a perfect square number can be calculated by dividing the number of cards with perfect square numbers by the total number of cards.
Probability = Number of cards with perfect square numbers / Total number of cards
Probability = 5 / 46
Simplifying this fraction, we get:
Probability = 1 / 9.2
Therefore, the probability of drawing a card with a perfect square number from the box is approximately 0.109 or 10.9%.
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