Tamil Nadu Board Solutions for Chapter: Statistics And Probability, Exercise 16: Unit Exercise

In the frequency distribution table, $k$ is a positive integer, has a variance of $160$. Determine the value of $k$.

$\begin{array}{|ccccccc|}\hline x& k& 2k& 3k& 4k& 5k& 6k\\ f& 2& 1& 1& 1& 1& 1\\ \hline\end{array}$

In a two children family, find the probability that there is at least one girl in a family.

A bag contains $5$ white and some black balls. If the probability of drawing a black ball from the bag is twice the probability of drawing a white ball, then find the number of black balls.

The probability that a student will pass the final examination in both English and Tamil is $0.5$ and the probability of passing neither is $0.1$. If the probability of passing the English examination is $0.75$, what is the probability of passing the Tamil examination?

The King, Queen and Jack of the suit spade are removed from a deck of $52$ cards. One card is selected from the remaining cards. Find the probability of getting a diamond.
 

The King, Queen and Jack of the suit spade are removed from a deck of $52$ cards. One card is selected from the remaining cards. Find the probability of getting a queen.

The King, Queen and Jack of the suit spade are removed from a deck of $52$ cards. One card is selected from the remaining cards. Find the probability of getting a spade.

The King, Queen and Jack of the suit spade are removed from a deck of $52$ cards. One card is selected from the remaining cards. Find the probability of getting a heart card bearing the number $5$. (Write the final answer in its simplest fraction form)