Daily Exam 4 – Probability

The sum of all integers from 10 to 50 (both inclusive) is:

The 50th term of the series 10, 16, 22, 28, 34, 40, …is:

Sum of the infinite series 4, 2, 1, 0.5, 0.25….is:

An urn contains four black balls and six white balls. What is the probability of getting one black ball and one white ball in two consecutive draws from the urn?

In a dice game, one fair die is used. The player wins $10 if he rolls either a 1 or a 6. He losses $5 if he turns up any other face. What is the expected winning for one roll of the die?

The probability that both stages of a two – stage rocket will function correctly is 0.95. The reliability of the first stage is 0.98. What is the reliability of the second stage?

An item’s cost contribution is given as a function of the probability. What is the expected cost?;[Cost 1 2 3 4 5 6];[Probability 0.07 0.23 0.46 0.17 0.04 0.03]

A bag contains 100 balls numbered 1 to 100. One ball is drawn from the bag. What is the probability that the number on the ball selected will be odd or greater than 80?

What is the probability that either exactly two heads or exactly three heads will be thrown if six fair coins are tossed at once?

The number of different 3-digits numbers that can be formed from the digits 1, 2, 3, 7, 8, 9, without reusing the digits is:

The number of different ways that a party of seven councilmen can be seated in a row is:

A student must answer six out of eight questions in the exam. The number of the different ways in which he can do the exam is:

An integer has to be chosen from numbers between 1 and 100 (both inclusive). The probability of choosing a number divisible by 9 (with a remainder of 0) is:

Four fair coins are tossed. The probability of either one, or two heads showing up is:

Two identical bags contain ten apples and five oranges each. The probability of selecting an apple from the first bag and an orange from the second bag is:

A bag contains 10 red, 15 orange, 15 green, 20 violet, and 25 black cards. The probability that you will get a black card or a red card if you remove a card from the bag is:

Two bags each contain two orange balls, five white balls, and three red balls. The probability of selected an orange ball from the first bag or a white ball from the other bag is:

A bag contains 100 balls numbered 1 to 100. One ball is drawn from the bag. What is the probability that the number on the ball will be even or greater than 72?

Find the 100th term of the sequence 1.01, 1.00, 0.99…

Determine the sum of the infinite geometric series of 1, -1/5, +1/25,…?

Determine x so that x, 2x + 7, 10x – 7 will form a geometric progression.

If one third of the air in the tank is removed by each stroke of an air pump, what fractional part of the total air is removed in 6?

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

How many teams of four can be formed from 35 people?

How many three-letter codes may be formed from the English alphabet if no repetitions are allowed?