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The red face cards and the black cards numbered 2-9 are put into a bag. What is the probability of drawing a red face card or a black card numbered 2-9?

1) 1/2
2) 2/9
3) 5/9
4) 7/9

1 Answer

4 votes

Final answer:

The probability of drawing a red face card or a black card numbered 2-9 is 1 or 100%.

Step-by-step explanation:

To calculate the probability of drawing a red face card or a black card numbered 2-9, we need to determine the total number of favorable outcomes and the total number of possible outcomes.

The number of red face cards is 3 (Kings, Queens, and Jacks) and the number of black cards numbered 2-9 is 8 (2, 3, 4, 5, 6, 7, 8, and 9). So, the total number of favorable outcomes is 3+8=11.

The total number of possible outcomes is the sum of all the red cards (3) and all the black cards numbered 2-9 (8). So, the total number of possible outcomes is 3+8=11.

Therefore, the probability of drawing a red face card or a black card numbered 2-9 is 11/11, which simplifies to 1 or 100%.

User Reginaldo Costa
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