The probability will depend on the underlying distribution, which is not specified.
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The probability of drawing the 10 is 1/10 and the probability of rolling a 3 is 1/6. So, the probability of both is 1/10 * 1/6 = 1/60.
If you draw 9 or fewer cards, the probability is 0. If you draw 10 or more card, the probability is 1.
For a four digit pin number: You receive the first PIN number, let's say WXYZ. The probability that the next pin number you receive would match (assuming they are randomly provided), is: For each digit, they are 10 possibilities [0 1 2 3 4 5 6 7 8 8]. The probability that one specific number is chosen is thus of 1/10. For the are four digits, hence four independent selection of one digit, each with a probability of 1/10. The probability of an event, combination of independent events, is the product of the the probability of the independent event. Thus, the probability that the next pin number you receive would match (assuming they are randomly provided), is: 1/10*1/10*1/10*1/10 or 1/10^4 or 0.0001 or 1 out 10000
p = 1 means 100 out of 100 or 100% so .1 means one time in every 10 or 1/10.
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