Register

GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics

122 views
2 2 votes

Ten balls numbered 1 to 10 are in a jar. Jack reaches into the jar and randomly removes one of the balls. Then Jill reaches into the jar and randomly removes a different ball. The probability that the sum of the two numbers on the balls removed is even is

  1. $\frac{4}{9}$
  2. $\frac{9}{19}$
  3. $\frac{1}{2}$
  4. $\frac{10}{19}$

1 Answer

2 2 votes
For the sum of the two numbers removed to be even, they must be of the same parity. There are five even values and five odd values.
No matter what Jack chooses, the number of numbers with the same parity is four. There are nine numbers total, so the probability Jill chooses a number with the same parity as Jack's is $\frac{4}{9}$
A
Voting & Accepting an answer helps improve the community
Answer:
← Previous · IIT TirupatiNext → · GO Classes DPP | GAT...
← Previous in category · GO Classes DPP | GAT...Next in category → · GO Classes DPP | GAT...
Position:
Show:

Related questions

1 1 vote
2 2 answers
138
138 views
GO Classes asked Apr 20
138 views
GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics
Placing no more than one X in each small square, what is the greatest number of X 's that can be put on the grid shown without getting three X 's in a row vertically, hor...
2 2 votes
1 1 answer
126
126 views
GO Classes asked Apr 20
126 views
GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics
For any real number a and positive integer k, define$$\binom{a}{k}=\frac{a(a-1)(a-2) \cdots(a-(k-1))}{k(k-1)(k-2) \cdots(2)(1)}$$What is$$\binom{-\frac{1}{2}}{100} \div\b...
4 4 votes
3 3 answers
228
228 views
GO Classes asked Apr 18
228 views
GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics
Using only the paths and the directions shown, how many different routes are there from M to N ?2346
3 3 votes
1 1 answer
169
169 views
GO Classes asked Apr 18
169 views
GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics
How many whole numbers are between $\sqrt{8}$ and $\sqrt{80}$ ?5678