Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

  • Option 1)

    3/5

  • Option 2)

    1/5

  • Option 3)

    2/5

  • Option 4)

    4/5

 

Answers (1)

As we learnt in 

Probability of occurrence of an event -

Let S be the sample space then the probability of occurrence of an event E is denoted by P(E) and it is defined as 

P\left ( E \right )=\frac{n\left ( E \right )}{n\left ( S \right )}

P\left ( E \right )\leq 1

P(E)=\lim_{n\rightarrow\infty}\left(\frac{r}{n} \right )

 

 

- wherein

Where n repeated experiment and E occurs r times.

 

 

Total number of ways of betting on two horses = 5C_{2}

Number of ways that winning horse is selected = 4

Since, keeping one horse fixed, other horse can be selected in 4 ways.

Probability = \frac{4}{^5C_{2}}\:=\frac{4}{10}\:=\frac{2}{5}


Option 1)

3/5

This option is incorrect.

Option 2)

1/5

This option is incorrect.

Option 3)

2/5

This option is correct.

Option 4)

4/5

This option is incorrect.

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