Question

Two digit number are formed from the digit 0,1,2,3,4 where digits are not repeated.find the probability for each of the events that a) the number formed is a divisor of 4 b) the number formed is prime number

Answer 1

Answer:

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Step-by-step explanation:

the posible outcomes are

(10)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(23)(24)(25)(26)(27)(28)(29)(30)(31)(32)(34)(35)(36)(37)(38)(39)(40)(41)(42)(43)(45)(46)(47)(48)(49)

now the number of outcomes are=36

now the number divided  by 4 are

(12)(16)(20)(24)(28)(32)(36)(40)(44)(48) = 10

probability of the number formed is a divisor of 4 is 10/36= 5/18

now the prime numbers are

(13)(17)(19)(23)(29)(31)(37)(41)(43)(47)=10

probability of prime numbers is 10/36=5/18