Probability Worksheets Probability Worksheets To know the probability, first we have to understand the some terms that are closely related to the probability and with the help of all terms we can easily solve the probability worksheets. Let’s take a look on the some terms:Random experiment: - An operation which can produce some well-defined outcomes and these outcomes are not predictable, is called a random experiment. Example like tossing a fair coin, rolling an unbiased die, drawing a card from a well-defined pack of cards. Notes: - (a) A die is a solid cube, the six faces of which are marked with 1, 2, 3, 4, 5, 6 dots respectively, in throwing a die; the outcome is the number of dots on the uppermost face. The plural of die is dice. (b) A pack of cards consist of 52 cards in four suits, called Spades, Clubs, Hearts and Diamonds. Out of these, spades and clubs are black faced cards while hearts and diamonds are red faced cards. The Aces Kings, Queens and Jack are known as face cards. (c) When we throw a coin, either a tail or a head appears on the upper faces.
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(ii) Sample faces: - Denoted by the s and set of all possible outcomes in random experiment is called the sample space. Each element of a sample space is called a sample point. Example 1: - In a tossing a coin, we have S = T, H Example 2: - In tossing a die, we have S = 1, 2, 3, 4, 5, 6 Event: - Any subset of a sample space is called an event. Example 1: - In a single throw of a die, the event of getting a prime number is given by E = 2, 3, 5 Impossible event: - Clearly, ? C S. So, ? is an event, called the impossible event. Sure event: S is the subset of S. So, S is an event, called the sure event. Complementary event: - let S be the sample space and E be an event. Then the complement of E that is E c is the subset of S, E c is also an event, called complementary event. Mutually Exclusive event: - Two events E 1 and E 2 are said to be mutually exclusive, if E 1 ∊ E 2 = ?. Independent events: - Two events are said to be independence if the occurrence of one does not depend upon the occurrence of the other. Example1: - In simultaneously throw of two coins. Let E 1 = Event of getting head on first coin and E 2 = event of getting head on second coin. Then E 1 and E 2 are independent events. Probability: - In the random experiment, let S be the sample space and E be the event, then E is the subset of S.
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Then we define P (E) = Number of favorable cases to E / Number of possible outcomes Or n (E) / n (S) The terms that we discussed above are very useful to understand the concept of the probability and also useful to solve the probability worksheets.
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