# In any situation that has only two possible outcomes, each outcome will have probability 1/2 . True or false? Why

**Solution:**

We know that

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability of each outcome will be 1/2 only if two outcomes are equally likely otherwise not.

Therefore, the statement is false.

**✦ Try This: **A boy calculates that the probability of her winning the first prize in a lottery is 0.04. If 2000 tickets are sold, how many tickets has she bought?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Consider x as the number of tickets bought by the girl

From the question we can write it as

x/6000 = 0.08

x = 0.8 × 6000

x = 480

Therefore, she bought 480 tickets.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.2 Sample Problem 3**

## In any situation that has only two possible outcomes, each outcome will have probability 1/2 . True or false? Why

**Summary:**

The statement “In any situation that has only two possible outcomes, each outcome will have probability 1/2” is false

**☛ Related Questions:**

- The median of an ungrouped data and the median calculated when the same data is grouped are always t . . . .
- In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula x . . . .
- Is it true to say that the mean, mode and median of grouped data will always be different? Justify y . . . .

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