A community for students.
Here's the question you clicked on:
 0 viewing
mathmath333
 one year ago
Probablity question
mathmath333
 one year ago
Probablity question

This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? i.)E : ‘the card drawn is a king or queen’ F : ‘the card drawn is a queen or jack’.

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2dw:1439916492853:dw

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0how do i calculate \(P(K\cap Q)\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0P(K\(\cup\)Q)=P(K)+P(Q)P(K\(\cap\)Q)

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2first let me remind you I am not the best stats person

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2dw:1439917813910:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Events are independent if one does not affect the other.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[(\text{Q} \text{ or } \text{K}) \text{ and } (\text{Q} \text{ or } \text{J}) \\ =Q \text{ or } (K \text{ and } J) \text{ by distributive law }\\ =Q \text{ or } \emptyset \text{ since a card cannot be both a king and a jack} \\ = Q \] to check this one to see if it is independent you can see if the following equality holds: \[P((\text{Q} \text{ or } K) \text{ and } (\text{Q} \text{ or } \text{J}))=P(\text{Q} \text{ or } \text{K}) \cdot P(\text{Q} \text{ or } \text{J}) \\ \\ \text{ we know the left hand side just equals } P(\text{Q}) \\ \\ \text{ and we know } P(\text{Q})=\frac{4}{52}=\frac{1}{13} \\ \text{ so check to see if the right hand side is also } \frac{1}{13}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you should see it is not by what was worked out above

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if the equality holds then E and F are independent if the equality fails then E and F aren't independent
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.