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The probability of randomly choosing 1 blue sock is 7/10. The probability of randomly choosing 2 blue socks in a row is 7/10 x 7/10 = 49/100.
The probability is 10/50 = 1/5.
If the selection is random, the probability is 16/52 = 4/13.
The probability for a single random choice, is 6/13.
It is 10/13.
If 10 out of 26 are girls, then the probability of randomly choosing a boy is 16 out of 26, or 8 out of 13, or about 0.6154.
If the choice is unbiased, the change is 14/(10+14). If the chooser prefers choosing boys, the probability is 0.
2/5
It is 2/52 or 1/26.
The probability of choosing a 10 is 4/52; likewise a Jack is 4/52. The probability of 10 or Jack is 4/52 + 4/52 = 8/52 or 2/13.
If I understand the question correctly, the answer is 3/10.
4/10