Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of : getting a 1-digit number?

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of : getting a number 6?

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of : getting a number less than 6?

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of : getting a number greater than 6?

We take 8 identical slpis of paper, write the number 0 on one of them, number 1 on three of the slips, the number 2 on three of the slips and number 3 on one of the slpis. These slips are folded, put in a box and thoroughly mixed. One slip is then drawn at random from the box. If Z is the random variable denoting the number written on the drawn slip, find the probability distribution of Z.