14/15
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We must first determine the total number of favorable outcomes and the total number of possible outcomes.
There are 30 cards, so there are 30 possible outcomes.
Numbers greater than 5 range from 6 to 30, which gives us 25 possible numbers.
This includes odd numbers greater than 5. Add to this odd numbers not greater than 5, which gives us numbers 1, 3 and 5.
So in total we have:
- 25 + 3 = 28 favorable outcomes
The sample space consists of 30 numbers, so the probability of drawing a number greater than 5 or an odd number is:
Therefore, the probability is 14/15.
