Probability Worksheet Probability Worksheet Everyday we come across situations, which involve uncertainty. Usually we come across statements such as: 1. There are good chances for India to score more than 200 runs in the next one day cricket match. 2. You will not eat any food tomorrow. 3. When you toss a coin, the result will be a head. 4. There will be snowfall in some part of India in December this year. We see that in all statements mentioned above, though the element of uncertainty is involved, still we can make a guess in favor of one or the other as follows : 1.
Likely (from past experience)
2.
Very unlikely (every one normally eats at least ones a day)
3.
Not sure (it is equally likely to get a head or tail) Know More About Sets Examples
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4.
Likely (normally there is snowfall in the Himalayan region during December)
Thus we are able to say something about the degree of uncertainty. The science, that measures uncertainty, is termed as probability. Probability tells us how likely an event is to occur. It does not tell us what is going to happen. The observation of any experiment is called its outcomes. For example, in tossing a coin, the possible outcomes are head and tail. Many terms are related to the probability such as random experiment, sample spaces, events that may be mutually exclusive, complementary, and favorable and many more. If there are n total number of outcomes of an experiment and any event can occur in m ways, the probability of occurrence of event A, denoted by P (A), is given by P (A) = m / n = the number of outcomes in which A can occur / total number of outcomes Let’s take some example to understand the probability: Example 1: - A game consist of tossing a 1 rupee coin 3 three times and noting its outcomes each time. Ram wins if all the tosses give the same result that is three heads or three tails and loses otherwise. Calculate the probability that Ram will lose the game. Read More About The Discovery Of Irrational Numbers
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Solution: - If we denote the Head by H and Tail by T then, all possible outcomes are HHH, HHT, HTH, THH, TTH, THT, HTT, TTT that is 8 Ram can lose the game in following cases: That is in 6 (out of 8) ways HHT, HTH, THH, TTH, THT, HTT P (Ram loses the game) = the number of outcomes in which A can occur / total number of outcomes 6/8=3/4 Answer is 3 / 4 Example 2: - A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is: I) a black cards There are 26 black cards in a pack cards Hence P (black card) = 26 / 52 = 1 / 2 ii) A king P(Kings) = 4 / 52 = 1 / 13 [there are 4 kings in a pack ] Like this we can draw an know any type of card's probability. From all information that I discussed above will be helpful to solve the probability worksheet. Tutorcircle.com
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