Question

Which of the following arguments are correct and which are not correct? Give reasons for your answer.
(i) If two coins are tossed simultaneously there are three possible outcomes-two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3
(ii) If a die is thrown, there are two possible outcomes-an odd number or an even number. Therefore, the probability of getting an odd number is 1/2

Answer 1

i) Possible outcomes ={HH,HT,TH,TT}

The number of outcomes is 4.

Hence, the probability for each of these outcomes =1/4

The argument is false.

ii) Possible outcomes ={1,2,3,4,5,6}

P(Odd number)=Number of odd numbers shown /Total outcomes

P(Odd number)=3/6=1/2

The argument is correct.