Logical Venn Diagrams

In a throw of two dice, the probability of obtaining a total of $10$ or $12$ is?

One box contains four cards numbered $1, 3, 5$ and $6$. Another box contains three cards numbered $2, 4$ and $7$. One card is drawn from each box. Find the probability that the sum is even.

In how many ways can $5$ people line up to pay their electric bills?

Study the following figure and answer the questions given below.

How many cricketers are engineers?

Find the total number of combinations of three letters, J, R, T taken $1$, $2$, $3$ at a time.

A fair coin is tossed three times. What is the probability of getting either $3$ heads or $3$ tails?

The question has an assertion (A) and a reason (R). Mark answer as:

$1.$ If (A) is true but (R) is false.

$2.$ If both (A) and (R) are true but (R) is not the correct explanation of (A)

$3.$ If both (A) and (R) are true and (R) is the correct explanation of (A)

$4.$ If (A) is false but (R) is true.

The number of ways can $3$ nurses and $4$ engineers be seated on a bench with the nurses seated together is?

If there are five white balls, three black balls and four red balls, find the probability that one ball is white and the other is red.

Identify the diagram that best represent the relationship among Boys, Students, Players.

There are $50$ tickets in a lottery in which there is a first and second prize. What is the probability of a man drawing a prize if he owns $5$ tickets?

If a means 'plus' b means 'minus', c means 'multiplied by' and d means 'divided by', than $18 \mathrm{c} 14 \mathrm{a} 6 \mathrm{b} 16 \mathrm{d} 4 = ?$

How many line segments can be formed by $13$ distinct point?

Which figure represents Hockey players, Rubber ball, Poets?

The face of a coin is either head or tail. If three coins are tossed, what is the probability of getting three tails or three heads?

The probability that both stages of a two-stage rocket to function correctly is $0.92$. The reliability of the first stage is $0.97$. What is the reliability of the second stage?

Determine the probability of drawing either a king or a diamond in a single draw from a pack of $52$ playing cards ?

The UN forces for Bosnia uses a type of missile that hits the target with a probability of $0.3$. How many missiles should be fired so that there is at least $80\%$ probability of hitting the target?

A survey of $100$ persons revealed that $72$ of them had eaten at restaurant P and that $52$ of them had eaten at restaurant Q. Which of the following could not be the number of persons in the surveyed group who had eaten at both P and Q?

In how many ways can a committee of three consisting of two chemical engineers and one mechanical engineer can be formed from four chemical engineers and three mechanical engineers?