A bag of marbles can be divided evenly among 2,3 or 4 friends. A) How many marbles might be in the bag? B) What is the least num

Correct question:

An urn holds 3 red and 7 black balls. Players A and B take turns withdrawing balls until a red one is chosen. Calculate the probability that A picks the red ball. (A goes first, followed by B, with no replacement of drawn balls).

Answer:

The likelihood that A picks the red ball is 58.33 %

Step-by-step explanation:

A will select the red ball if it is drawn 1st, 3rd, 5th, or 7th.

1st draw: 9C2

3rd draw: 7C2

5th draw: 5C2

7th draw: 3C2

Calculating for all possible scenarios gives us:

9C2 = (9!) / (7!2!) = 36

7C2 = (7!) / (5!2!) = 21

5C2 = (5!) / (3!2!) = 10

3C2 = (3!) / (2!) = 3

Adding these possibilities results in 36 + 21 + 10 + 3 = 70.

The total outcomes for selecting a red ball = 10C3

10C3 = (10!) / (7!3!)

= 120.

The probability that A selects the red ball is determined by dividing the sum of possible events by the overall outcomes.

P( A selects the red ball) = 70 / 120

= 0.5833

= 58.33 %

Approximately 111.97

Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be . After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being . The final probability is obtained by multiplying these two results to yield .

Answer:

The original cost amounts to $10

Step-by-step explanation:

Let us denote the cost as x

where Price = x + (0.5x) = 1.50x

Now, the price after reduction is 20% of 1.50x

which is 0.3x

This leads to the equation 1.50x - 0.3x = 12

resulting in 1.2x = 12

which gives us x = 10

thus, the cost is $10

Answer:

The male to female nurse ratio in simplest form is: 2:5

Step-by-step explanation:

Fact: A hospital has a total of 250 registered nurses.

Total number of male nurses is 100

Total number of female nurses is 250 - 100 = 150 [Total nurses minus number of male nurses]

To determine the ratio of male to female nurses in simplest terms;

A ratio indicates the relative proportions of two or more quantities.

Thus,

=

or

= = 2:5

Consequently, the male to female nurses ratio in simplest form is; 2:5