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Theoretical Probability

Question 08. ...

Question

Question 08.
When we toss a coin, there are two possible outcomes - head or tail. Therefore, the probability of each outcome is $\frac{1}{2} .$ Justify your answer.

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Solution

Yes, probability of each outcome is $\frac{1}{2}$ because head and tail both are equally likely events.

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Similar questions

Q. Question 25 (i)
Is the following argument correct? Give reasons for your answer.
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

\frac{1}{3}

Q. Examine the following statements and comment:
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

.

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.

(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.

Q. Question 22 (ii)
(ii) A student argues that there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9,10, 11 and 12. Therefore each of them has a probability

\frac{1}{11}

. Do you agree with this argument? Justify your answer.

A student argues that there are

11

possible outcomes (sum of numbers on both dice)

2, 3, 4, 5, 6, 7, 8, 9, 10, 11

12

when we throws two dice simultaneously. Therefore each of them has a probability

\frac{1}{11} .

Do you agree with this argument? Justify your answer.

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Theoretical Probability

Standard X Mathematics

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