2. A bag-I contains four cards numbered 1, 3, 5 and 7 respectively. Another bag-II contains here cards numbered 2, 4 and 6 respectively. A card is drawn at random from each bag. Find the probability that the sum of two cards drawn is 9.

Probability problems add an intriguing dimension to Class 10 tuition coaching. In this scenario, we'll explore the likelihood of obtaining a sum of 9 from cards drawn from two distinct bags. UrbanPro.com connects students with qualified tutors specializing in Class 10 tuition coaching, ensuring a comprehensive understanding of mathematical concepts.

Heading 1: Understanding the Card Setup: Let's begin by comprehending the composition of Bag-I and Bag-II, each containing cards with specific numbers.

Heading 2: Calculating Probability for a Sum of 9: Now, let's determine the probability of drawing two cards whose sum is 9, considering one card from each bag.

Sub-heading 1: Possible Combinations for a Sum of 9:

• Analyze the potential pairs that result in a sum of 9: (2, 7), (4, 5), (5, 4), (7, 2).

Sub-heading 2: Probability Calculation:

• Number of favorable outcomes = 4 (as there are four favorable pairs)
• Total number of possible outcomes = (Number of cards in Bag-I) * (Number of cards in Bag-II) = 4 * 3 = 12
• Probability of getting a sum of 9 (P(9)) = Number of favorable outcomes / Total number of possible outcomes
• P(9) = 4 / 12

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