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Probability

Question
CBSEENMA12033599

Find the probability that a single throw of a die results in a number less than 6 if
(i) no other information is given
(ii) it is given that the throw resulted in an odd number

Solution

Let S be the sample space when a die is thrown.
therefore space space space straight S space equals space open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 close curly brackets
Let E denote the event of getting number less than 6 and F denote the event of getting an odd number.
therefore space space space space straight E space equals space open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 close curly brackets
space space space space space space space space straight F space equals space open curly brackets 1 comma space 3 comma space 5 close curly brackets
space space straight E space intersection space straight F space equals space open curly brackets 1 comma space 3 comma space 5 close curly brackets

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