Question

Probability Question


Neil and Jean each choose a number at random from the set {1,2,3,4,5,6,7,8,9,10}; their numbers are allowed to be the same. What is the probability that the product of those two numbers is even?

Answer 1

@saifoo.khan Is very good at this we will help you.:)

Answer 2

he*

Answer 3

Write down the possibilities first.

Answer 4

Well, you could have two even numbers, one even and one odd, to get an even product.
To get an odd product it would be two odd numbers.

Answer 5

or* one even and one add.

Answer 6

odd**

Answer 7

Do you have the possibilities?

Answer 8

As in combinations of numbers?

Answer 9

Wouldn't it be 100? (because either of them can choose any of the ten)?

Answer 10

Like this:
(1,2) (1,4) 1,6.. etc

Answer 11

Do you mean the possibilities to get an even product, or all the possibilities

Answer 12

Yes. Possibilities to get an even product. Then count them.

Answer 13

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

Answer 14

I think that is all of them.

Answer 15

So 75.

Answer 16

But the answer isn't 3/4