Two fair dice onesided and the other tensided are rolled one

Two fair dice, one-sided and the other ten-sided are rolled. one questions only depend on the number values rolled.

A) What is the size of the sample space for thisexperiment? (the set is sufficiently small that you can answer some questions by counting outcomes in events.)

B) What is the chance that the neither roll is 4?

C) what is the chance that the sum of the numbers is 11?

D) what is the chance that both rolls drawn are even?

E) What is the chance that the number on the six-sided die is strictly greater than the number on the ten-sided die?

F) What is the chance that the larger of the two numbers is a 5? (This event includes the outcome in which bothdie roll a 5.)

Solution

IF ONE DICE IS 6 SIDED AND THE OTHER IS 10 SIDED

A) THE TOTAL SAMPLE SPACE WILL BE 6*10 = 60

B)NEITHER ROLL IS 4 MEANS NOT COMING 4 ON BOTH THE DICE.

(4,1)(4,2)(4,3).....(4,10) + (1,4),(2,4)....(6,4)

TOTAL THERE WILL BE 16 CASES

60-16 = 44

PROBABILITY OF NONE 4 = 44/60 = 0.73

C) SUM = 11

(1,10)(2,9)(3,8)(4,7)(5,6)(6,5)

= 6/60 = 0.1

D)(22)(44)(66)(24)(2,6)(28)(210)(42)(46)(48)(410)(62)(64)(68)(610)

= 15/60 = 1/4 = 0.25