Examine each of the following statements and comment: (i) If two coins are tossed at the same time, there are 3 possible outcomes – two heads, two tails, or one of each. Therefore, for each outcome, the probability of occurrence is 1/3. (ii) If a die is thrown once, there are two possible outcomes – an odd number or an even number. Therefore, the probability of obtaining an odd number is � and the probability of obtaining an even number is 1/2.

Question

Examine each of the following statements and comment: (i) If two coins are tossed at the same time, there are 3 possible outcomes &#x2013; two heads, two tails, or one of each. Therefore, for each outcome, the probability of occurrence is 1/3. (ii) If a die is thrown once, there are two possible outcomes &#x2013; an odd number or an even number. Therefore, the probability of obtaining an odd number is &#xFFFD; and the probability of obtaining an even number is 1/2.

Philoid · Accepted Answer

(i) Incorrect statement

If 2 coins are tossed at the same time = 4 possible outcomes (HH, HT, TH, TT}

Therefore probability of each outcome = 1/4

(ii) Correct statement

When a dice is thrown once, event of occurrence of 3 odd numbers and 3 even numbers are possible out of 6 outcomes. Therefore, P(even number) = P(odd number) =