Question

Asked Apr 11, 2019

189 views

Four balls are numbered 1 through 4 and placed in a box. Two balls are selected without replacement. Find the probability that

A. the sum of the numbers is even.

B. the number on the second ball is less than the number on the first ball.

C. the sum of the numbers on both balls is greater than 3.

Step 1

We have four balls are numbered 1 through 4 and placed in a box.

Now, we are going to select 2 balls without replacement.

So, The total number of cases will be 12 which is (12,13,14,21,23,24,31,32,34,41,42,43).

Step 2

(a) The sum of the even number ( 1+3,3+1,2+4,4+2)=4

So, the favorable case will be 4.

Probability shown below:

Step 3

(b) The total number of cases for the number on the second ball is less tha...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Take the Gamblers ruin on [0, N] with a fair coin, i.e., a simple random walk with absorbing boundar...

A: Proof of P (T < ∞) = 1:The probability P (T < ∞) = 1 implies that the duration of the game wil...

Q: 61%9:15 PM Q STAT WA 7.3 Hmwk - Area X G hemoglobin - GoX + G somnelance - G X porp https://www.weba...

A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved t...

Q: Given:P(E) = 0.45, P(F) = 0.53, and P(E ∪ F) = 0.67(i) Find P(E ∩ F)(ii) Find P(F | E)a) (i) 0.31 ...

A: Given Two events E and F, probability of P(E) =0.45 and probability of P(F) =0.53 andP(E U F)= 0.67....

Q: The probability density function of the time to failure of an electronic component in a copier (in h...

A: The time to failure of an electronic component in copier follows Exponential Distribution with pdf f...

Q: according to police sources, a car with a certain protection system will be recovered 90% of the tim...

A: Given problem is a binomial distribution with:

Q: A poker hand consists of five cards drawn from a deck of 52 cards. Each card has one of 13 denomina...

A: In this question it has given that we have to draw 5 cards out of which 2 must be the pairs of diffe...

Q: A bag contains total 30 balls out of which 9 are red, 12 are white and 9 are blue. Two balls are dra...

A: Let us first find probability that the first ball is red. For that we will need the following.Since,...

Q: the carnival has come to town, and lucky louie has once again set up his pavilion. He offers a simpl...

A: Given two normal six sided dice are rolledtotal number of possibilities when two dice are rolled = 6...

Q: If you roll a four sided die and a six sided dice ( numbered 1,2,3,4) what is the probability of rol...

A: Given a four sided dice which have numbers 1,2,3,4 and six sided dice have numbers 1,2,3,4,5,6 on it...