Each of two urns contains green balls and red balls. Urn I contains 8 green balls and 12 red balls. Urn II contains 5 green balls and 8 red balls. If a ball is drawn from each urn, what is P(red and red)? A. 79/65 B. 24/65 C. 20/30 D. 2/13
U_1 = 12/20 || U_2 = 8/13 The probability of two events happening is their product. After you simplify the fraction, you will find the answer.
The events 'draw a ball from urn I' and 'draw a ball from urn II' are independent. Therefore the probability P(red and red) is the product of the two probabilities: \[\large P(red\ with\ red)=\frac{12}{20}\times\frac{8}{13}=? \]
one moment
.3?
@Mehek14
HI! Thank god someone is here haha
Heyo! What @kropot72 is quite right and your answer is sort of correct....it would actually be `3.692307...` in which it continues on. Which answer have you chosen?
Yeah I dont know honestly lol
Well we would first multiply the fractions of course... \(\Huge{\frac{12}{20} \times \frac{8}{13} = \frac{96}{260}}\) Now we would simplify this....what number would be simplify by? Factors of 260: 1,2,4,5,10,13,20,26,52,65,130,260 Factors of 96: 1,2,3,4,6,8,12,16,24,32,48,96 The factor we will use is the one they both have in common.
So t would be 2?
Not quite. It would actually be 4 :) So we divide by 4... \(\Huge{\frac{96}{260} \div \frac{4}{4} = ?}\)
ohhh thats right the last one
1
Last one? Do you mean D?
No the last number as in 4
Ooo ok
So what would it be?
Well we would divide by 4... \(\Huge{\frac{96 \div 4}{260 \div 4}=?}\) What did you get?
24/ 65
So the answer is B ^^
Oh awesome thank you can you answer some more?
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