State which of the following events are mutually exclusive , Give reasons for your answer .
`E_(1)` a red card , `E_(2)` : an ace , in a draw of a card from a deck.

State which of the following events are mutually exclusive , Give reasons for your answer . E_(1) : a total of 8, E_(2) : a total of 12 in a single throw of two dice.

State which of the following events are mutually exclusive , Give reasons for your answer . E_(1): owns house , E_(2) : own a T.V set , in getting a response from an individual selected in a survey.

State which of the following events are mutually exclusive , Give reasons for your answer . E_(1):a mother , E_(2) :a woman in selecting the president of a ladies club .

State which of the following events are mutually exclusive , Give reasons for your answer . E_(1):2 heads , E_(2) at least one head in two successive tosses of a coln.

State which of the following events are mutually exclusive , Give reasons for your answer . E_(1) : a total of 8 , E_(2) : an even number on the toss in two successive tosses of a die.

State which of the following events are mutually exclusive , Give reasons for your answer . E_(1) : a total of 11, E_(2) : an odd number on each die in a simultaneous throw of two dice.

In the following figures, which wave has a higher pitch? Give reason for your answer.

Which of the following statements are true? Give reason to support your answer. {a , b , c} and {1,2,3} are equivalent sets.

Which of the following Roman numerals are not valid? State the reason for your answer in each case. LM

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.