In a single throw of two dice,what is the probability of obtaining an odd number as the sum of the numbers on the two dice?

$A$ bag contains $3$ red and $3$ white balls. If two balls are drawn one after another,what is the probability that they are of different colors?

$A$ bag contains $3$ white,$2$ blue,and $5$ red balls. One ball is drawn at random from this bag. The probability that the ball drawn is not red is

The probability that a non-leap year selected at random will contain $52$ Saturdays or $53$ Sundays is

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is:

$A$ special lottery is to be held to select a student who will live in the only deluxe room available in a hostel. $100$ $III$ year,$150$ $II$ year,and $200$ $I$ year students have applied for the room. Each $III$ year student's name is placed in the lottery $3$ times,each $II$ year student's name $2$ times,and each $I$ year student's name $1$ time. The probability that a $III$ year student gets the room is: