A bag contains 10 marbles numbered from 1 to 10. two marbles are selected from the bag at the same time. let event e = the two numbers are even. how many outcomes are in the complement of e? a bag contains 10 marbles numbered from 1 to 10. two marbles are selected from the bag at the same time. let event e = the two numbers are even. how many outcomes are in the complement of e?

Question

Biology

Guido

2 February, 13:09

A bag contains 10 marbles numbered from 1 to 10. two marbles are selected from the bag at the same time. let event e = the two numbers are even. how many outcomes are in the complement of e? a bag contains 10 marbles numbered from 1 to 10. two marbles are selected from the bag at the same time. let event e = the two numbers are even. how many outcomes are in the complement of e?

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Trinity Wright · Answer 1

Given:

10 marbles number 1 to 10

Odd : 1; 3; 5; 7; 9

Even: 2; 4; 6; 8; 10

Combination:

n = 10; r = 2

nCr = n! / r! (n-r) ! = 10! / 2! (10-2) ! = 10! / 2!*8! = 45 outcomes.

Even e = two numbers are even

n = 5; r = 2

nCr = 5! / 2! (5-2) ! = 5! / 2!*3! = 10 outcomes

Complement of e is:

45 - 10 = 35 outcomes