Axiomatic Approach to Probability

Three identical dice are rolled. The probability that the same number will appear on each of them is

The probability that in a randomly selected $3-$digit number at least two digits are odd, is

Determine  the chance that a non-leap year selected at random will not contain $53$ Sundays or $53$ Mondays?

What are the limitations of classical probability of an event. What is the probability of getting $1$ in a single throw of dice. 

What are the limitations of classical probability of an event. Also state what is the probability of getting heads in a single throw of coin.

Can the probability of an event be greater than $1$?

The classical probability of an event can handle events with an infinite number of possible outcomes.

What are the limitations of classical probability of an event.

A coin is tossed $27$ times and lands $12$ time on heads. What is the relative frequency of observing the coin land on heads?

A coin is tossed $20$ times and lands $15$ time on heads. What is the relative frequency of observing the coin land on heads?

 A die is tossed $17$ times and lands $7$ times on the number $3$. What is the relative frequency of observing the die land on the number $3$? 

 A die is tossed $35$ times and lands $8$ times on the number $2$. What is the relative frequency of observing the die land on the number $2$? 

 A die is tossed $40$ times and lands $6$ times on the number $4$. What is the relative frequency of observing the die land on the number $4$? 

$A$ and $B$ throws a pair of dice. If $A$ throws $9$ and $B$'s chance of throwing a higher number is $\frac{k}{6}$, then the value of $k$ is _____

When a die is thrown, the probability of the event that a number more than $6$ will appear is _____.

If $A$ and $B$ throw a die alternatively till one of them gets $5$ and wins the game. Then the probability of winning by $A$ is _____.

Two dice of different colours are thrown at a time. The probability that the sum is either $7$ or $11$ is

From $4$ red balls, $2$ white balls and $4$ black balls, four balls are selected. The probability of getting $2$ red balls is

An ellipse of eccentricity $\frac{2\sqrt{2}}{3}$ is inscribed in a circle. A point is chosen inside the circle at random. The probability that the point lies outside the ellipse is

Three unbiased coins are tossed. The probability of getting atleast $2$ tails is