00:01
Hello students, for the first question, as all 12 faces are equally likely, therefore we have probability that x equal to 1 is equal to probability that x equal to 2 equal to so on up to equal to probability of x equal to 12 that is equal to 1 by 12.
00:39
So, probability of a is equal to probability of e when that is equal to even numbers are 6, so 6 into 1 by 2 that is 1 by 12 that is 6 by 12 which is equal to 0 .5.
00:59
So, probability of b is equal to probability that x greater than or equal to 8, so that is probability of 8, 9, 10, 11, 12, so that are 5 by 12.
01:15
Now, probability that a and b is equal to probability that even and greater than or equal to 8 that is probability that a intersection b, so these are probability that 8, 10, 12, so that is equal to 3 by 12 which is equal to 1 by 4...