An container has 4 balls that are red and 6 balls that are blue. Two balls are chosen at random, one after the other, without replacement. (a) Find the probability that the first ball chosen is blue and the second ball chosen is red (write the answer as a fraction in the simplest form). (b) Find the probability that both balls chosen are blue (write the answer as a fraction in the simplest form).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An container has 4 balls that are red and 6 balls that are blue. Two balls are chosen at random, one after the other, without replacement.

(a) Find the probability that the first ball chosen is blue and the second ball chosen is red (write the answer as a fraction in the simplest form).

(b) Find the probability that both balls chosen are blue (write the answer as a fraction in the simplest form).

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