First slide

Theorems of probability

Question

A seven digit number is formed using digits 3,3,4,4,4,5,5. The probability, that number so formed is divisible by 2 is

Moderate

A

$\frac{4}{7}$
B

$\frac{1}{7}$
C

$\frac{6}{7}$
D

$\frac{3}{7}$

Solution

$No. Of 7 digits number using 3, 3, 4, 4, 5, 5 = \frac{⌊ 7}{⌊ 2 ⌊ 3 ∣ 2}$
To get divisible by ‘2’,
$Digit in units place must be 4 ° = \frac{16}{⌊ 2 ⌊ 2 ∣ 62}$
$Required probability = \frac{\frac{16}{⌊ 2 ⌊ 2 ∣ 2}}{\frac{\underline{7}}{| 2 | 3 ∣ 2}} = \frac{3}{7}$

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