Exercise: 15.1 (Page No: 308) 1. Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = ___________. (ii) The probability of an event that cannot happen is __________. Such an event is called ________. (iii) The probability of an event that is certain to happen is _________. Such an event is called _________. (iv) The sum of the probabilities of all the elementary events of an experiment is __________. (v) The probability of an event is greater than or equal to and less than or equal to __________.
. Which of the following experiments have equally likely outcomes? Explain.
(i) A driver attempts to start a car. The car starts or does not start.
(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.
(iii) A trial is made to Solution: a true-false question. The Solution: is right or wrong.
(iv) A baby is born. It is a boy or a girl.
Answers
Answer:
q1
(i) Probability of an event E + Probability of the event ‘not E’ = 1.
(ii) The probability of an event that cannot happen is 0. Such an event is called an impossible event.
(iii) The probability of an event that is certain to happen is 1. Such an event is called a sure or certain event.
(iv) The sum of the probabilities of all the elementary events of an experiment is 1.
(v) The probability of an event is greater than or equal to 0 and less than or equal to 1.
q2
(i) This statement does not have equally likely outcomes as the car may or may not start depending upon various factors like fuel, etc.
(ii) Even this statement does not have equally likely outcomes as the player may shoot or miss the shot.
(iii) This statement has equally likely outcomes as it is known that the solution is either right or wrong.
(iv) This statement also has equally likely outcomes as it is known that the newly born baby can either be a boy or a girl.
hope it helps you please make me as brainist
Answer:
i) Equally likely outcome because either the car starts or does not. There can be no other possibility.
ii) Equally likely outcome because either the goes through the basket or it does not. There can be no other possibility.
iii) Equally likely outcome because in a true or false type of question, either the answer is correct or wrong. There can be only 2 possibilities or no other possibility.
iv) Equally likely outcome because either the child born is a girl or a boy. There can be no other possibility.