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tresset_1 [31]
3 years ago
8

The numbers 1-10 are written on note cards and placed in a bag. One card will be drawn from the bag at random..

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

Sample space: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Yes, both have 50% probability

No, first event has 30% probability and second one has 20% probability

Step-by-step explanation:

As we have a total of 10 note cards, each if a number from 1 to 10 (each card with a different number) and we want to draw one card at random, the sample space is each of the 10 numbers in the note (sample space with 10 elements):

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

From this 10 numbers, we have a total of 5 odd numbers and 5 even numbers, so the events of selecting an even number and selecting an odd number are equally likely (the probability of both events are 5/10 = 50%)

The numbers from the sample space divisible by 3 are:

3, 6, 9 (so a total of 3 elements, probability of 3/10 = 30%)

The numbers from the sample space divisible by 5 are:

5, 10 (so a total of 2  elements, probability of 2/10 = 20%)

As the probabilities are different, these events are not equally likely

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