Two boxes contain paperslips contais with rumbens written on them. One box contains 10 even numbers and 15 odd numbers, the other has 20 even and 30 odd. If one slip is drawn from each box what is the probability of both being odd? cubat is the probability of at least one of then being oold?

Question

Two boxes contain paperslips contais with rumbens written on them. One box contains 10 even numbers and 15 odd numbers, the other has 20 even and 30 odd. If one slip is drawn from each box what is the probability of both being odd? cubat is the probability of at least one of then being odd

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Answer 1

The probability of picking an even slip from the first box is 2/5 and the probability of picking an odd slip from the first box is 3/5.  These same probabilities apply to the second box as well.

Therefore the probability of both drawn slips being odd is: 3/5 x 3/5 = 0.36

And the probability of at least one drawn slip being odd is: 2/5 x 3/5 + 3/5 x 2/5 + 3/5 x 3/5 = 0.84