NCERT Class X Chapter 14: Probability Exercise 14.1 Question (25)
NCERT Class X Chapter 14: Probability Exercise 14.1 Question 25
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 13
(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 12
Given:
(i) Two coins are tossed simultaneously.
(ii) A die is thrown.
To Find:
Whether the given arguments are correct or not, with reasons.
Formula:
Probability = Number of favorable outcomesTotal number of possible outcomes
Solution:
(i) When two coins are tossed simultaneously,
the possible outcomes are: HH, HT, TH, TT.
There are 4 possible outcomes, not 3.
The argument that there are only three outcomes (two heads, two tails, or one of each) is incorrect.
Therefore, the probability of each outcome is 14, not 13.
(ii) When a die is thrown, the possible outcomes are {1, 2, 3, 4, 5, 6}.
There are 3 odd numbers {1, 3, 5} and 3 even numbers {2, 4, 6}.
The probability of getting an odd number is Number of odd numbersTotal possible outcomes
P(Getting a odd number) = 36
P(Getting a odd number) = 12
The argument is correct.
Result:
(i) Argument 1 is incorrect.
(ii) Argument 2 is correct.
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