Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The probability Luka correctly identifies all 5 cards in any order is [tex]\frac{1}{^{52}C_{5}}[/tex].
What is probability?
"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."
We have
The number of favorable outcomes are Luka correctly identifying all 5
5 cards in any order, and this can be done in [tex]^{5}C_{5}[/tex] ways. This is equal to 1.
∴ The number of favorable outcomes are 1
Luke can identify 5 cards from 52 cards in [tex]^{52}C_{5}[/tex] ways (because there is no order followed here).
∴ The total number of outcomes are [tex]^{52}C_{5}[/tex]
Formula for probability of an event happening
= [tex]\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}[/tex]
So the probability Luka correctly identifies all 5 cards in any order is
= [tex]\frac{1}{^{52}C_{5}}[/tex]
Hence, the probability Luka correctly identifies all 5 cards in any order is [tex]\frac{1}{^{52}C_{5}}[/tex].
Learn more about probability here
https://brainly.com/question/12090187
#SPJ2
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.