Test: Probability - Class 8 MCQ

The probability of an event cannot be negative. Probability values range from 0 to 1, indicating the likelihood of an event occurring, where 0 means impossible and 1 means certain.

The probability of event E is calculated by dividing the number of favorable outcomes (5) by the total number of outcomes (20). Thus, P(E) = 5/20 = 1/4.

Each die has 6 faces, so when rolling two dice, the total number of outcomes is 6 (from the first die) multiplied by 6 (from the second die), resulting in 36 possible outcomes.

Favorable outcomes refer to those outcomes that fulfill the condition of the event being measured. For example, if the event is rolling a 4 on a die, the favorable outcome is just rolling a 4.

An impossible event is one that cannot happen, and thus its probability is always 0. For example, rolling a number greater than 6 on a standard die is an impossible event.

The total outcomes when tossing two coins are 4: HH, HT, TH, TT. The outcomes with at least one head are HH, HT, and TH, giving us 3 favorable outcomes. Thus, the probability is 3/4.

The word 'TRIANGLE' contains 8 letters, of which 3 are vowels (A, I, E). The probability of selecting a vowel is therefore 3/8.

The even numbers on a die are 2, 4, and 6, totaling 3 favorable outcomes. With 6 possible outcomes, the probability of rolling an even number is 3/6, which simplifies to 1/2.

A sure event is one that will definitely occur. When throwing a die, the outcome will always be a number between 1 and 6, making it a sure event.

The probability of any event cannot exceed 1. It is always a value between 0 and 1, inclusive. Events with probabilities greater than 1 are not possible in probability theory.

When flipping a coin twice, the outcomes are HH, HT, TH, and TT. Therefore, there are 4 possible outcomes.

The possible outcomes when tossing a coin are Heads (H) or Tails (T). Each toss has two equally likely outcomes, demonstrating the basic principle of probability.

Probability is the measure of how likely an event is to occur in a random experiment. It quantifies uncertainty and is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

The total number of favorable outcomes for red or black is 4 (red) + 6 (black) = 10. The total number of balls is 15; thus, the probability is 10/15, which simplifies to 2/3.

An impossible event is one that cannot happen, and its probability is always 0. An example would be trying to roll a 7 on a standard six-sided die.

There are 15 balls in total (4 red + 6 black + 5 white). The probability of drawing a black ball is 6 (favorable outcomes) out of 15 (total outcomes), simplifying to 2/5.

The possible outcomes when tossing two coins are HH, HT, TH, and TT. Since only TT represents two tails, the probability is 1/4.

A trial is defined as a single action in an experiment. For example, each toss of a coin or throw of a die is considered one trial.

Equally likely outcomes occur when each potential outcome has the same probability of occurring. This is fundamental in fair games, like tossing a coin or rolling a die.

The probability of rolling a specific number, like 3, is determined by the number of favorable outcomes (1) divided by the total number of outcomes (6). Therefore, the probability is 1/6.