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Julli [10]
3 years ago
5

Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The e

xpected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

p = 1 ; q = 10,000

Step-by-step explanation:

Number of distinct colored balls = 10

Number of balls picked with replacement = 4

Probability = (number of required outcome / number of total possible outcomes)

Distinct picks :

P(1st) = 1 /10

P(2nd) = 1/10

P(3rd) = 1/10

P(4th) = 1/10

Expected Numbe of distinct color:

P(1st) * P(2nd) * P(3rd) * P(4th)

1/10 * 1/10 * 1/10 * 1/10

= 1/10000

p/q = 1/ 10000

p = 1 ; q = 10,000

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Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B
Tems11 [23]

Answer:

0.75

Step-by-step explanation:

Given,

P(A) = 0.6, P(B) = 0.4, P(C) = 0.2,

P(A ∩ B) = 0.3, P(A ∩ C) = 0.12, P(B ∩ C) = 0.1 and P(A ∩ B ∩ C) = 0.07,

Where,

A = event that the selected student has a Visa card,  

B = event that the selected student has a MasterCard,  

C = event that the selected student has an American Express card,

We know that,

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

= 0.6 + 0.4 + 0.2 - 0.3 - 0.12 - 0.1 + 0.07

= 0.75

Hence, the probability that the selected student has at least one of the three types of cards is 0.75.

5 0
3 years ago
PLEASE ITS DO TOMORROW
inysia [295]
Here you go :) !!!!!!!!

8 0
3 years ago
Make the following conversion. 4mm = _____ cm 0.04 0.4 40 400
eimsori [14]

Answer:

10 mm = 1 cm

4 mm = 4/10 cm

=0.4 cm

hope it helps

6 0
3 years ago
Read 2 more answers
M∠A = 75 + 5x
Firlakuza [10]

Answer:

See below

Step-by-step explanation:

For a parallelogram m < A = m < C so:-

75 + 5x = 87 + 3x

2x = 12

x = 6  

and m< A = 75 + 30 = 105

and m < C = 87 + 18 = 105

Now if the other 2 angles are  = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.

m < B = m < D

111 - 6x = 39 + 6x

-12x = -72

x = 6

m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75

So this has been proved.

6 0
3 years ago
Will mark brainly!!
Kruka [31]
Is there supposed to be an x before 4x?
5 0
2 years ago
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