Question

Two digit number is to be formed for the digits 0, 1, 2, 3, 4 where digits are not repeated. Find the probability of event that. a)The number formed is an even number b)The number formed is a prime number.

Answer 1

Step-by-step explanation:

Given digits,0,1,2,3,4

a) P(even number)= 5/5 × 1/2

= 1/2

b) P(prime number) = 5/5 × 1/2

= 1/2

Hope it helps!!!!

Answer 2

Given numbers :

0 , 1 , 2 , 3 , 4

Possible two digit numbers that can be formed from these no.s :

10 , 20 , 30 , 40, 21 , 23 , 24 , 31 , 32 , 34 , 41 , 42 , 43 , 12 , 13 , 14

Total number of outcomes = 16

a) No. of favourable outcomes = 10

P(E) =

$\frac{no. \: of \: favourable \: outcomes}{total \: no. \: of \: outcomes} \\ = \frac{10}{16} \\ = \frac{5}{8}$

b) No. of favourable outcomes = 5

P(E) =

$\frac{no. \: of \: favourable \: outcomes}{total \: no. \: of \: outcomes} \\ = \frac{5}{16}$

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