A number x is selected at random from the numbers 1, 2, 3 and 4. Anoth

1.	A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected atrandom from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16.
Answer» LetSbethesamplespace. S={(1,1);(1,4);(1,9);(1,16);(2,1);(2,4);(2,9);(2,16);(3,1);(3,4);(3,9);(3,16);(4,1);(4,4);(4,9);(4,16)} Herefirstmemberofeachorderedpairshowsthenumberselectedfromxandsecondmembershowsthenumberselectedfromy.n(S)=16 LetEbetheeventthatproductselectedislessthan16. E={(1,1);(1,4);(1,9);(2,1);(2,4);(3,1);(3,4);(4,1)} n(E)=8 P(E)=n(E)/n(S)=8/16=1/2

A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected atrandom from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16.

Answer»

LetSbethesamplespace.

S={(1,1);(1,4);(1,9);(1,16);(2,1);(2,4);(2,9);(2,16);(3,1);(3,4);(3,9);(3,16);(4,1);(4,4);(4,9);(4,16)}

Herefirstmemberofeachorderedpairshowsthenumberselectedfromxandsecondmembershowsthenumberselectedfromy.n(S)=16

LetEbetheeventthatproductselectedislessthan16.

E={(1,1);(1,4);(1,9);(2,1);(2,4);(3,1);(3,4);(4,1)}

n(E)=8

P(E)=n(E)/n(S)=8/16=1/2