Question

3. A die is thrown twice What the probability that (i) 5 will not come up either time?(ii)5 will come up atleast once?​

Answer 1

Step-by-step explanation:

What is the probability that the number 5 will not come up either time? Well, that just means that you need to roll a (1, 2, 3, 4, 6) on both turns right? And since the probability of rolling a 1, 2, 3, 4 or a 6 on a specific turn is 5/6 (assuming that the die is unbiased), the probability of you rolling anything but a 5 on every turn is 5/6. Hence, the probability that the number 5 will not come up either time can be written as 5/6 * 5/6 = 25/36, assuming that the throws are independent.