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Stels [109]
3 years ago
15

A bag contains 3 red marbles and 4 blue marbles.A marble is taken out from the bag and replaced. Another marble is taken from th

e bag. Work out the probability that the two marbles taken from the bag are the same colour.
Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0
A bag contains 3 red marbles and 4 blue marbles. a marble is taken at random and replaced. Another marble is taken from the bag. Work out the probability that the two marbles taken from the bag are the same color.

<span>Total number of marbles in the bag is 3 + 4 = 7.<span>The problem asks for the probability of (RR) or (BB).</span>It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from</span>Since each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)
<span>P(RR) + P(BB) = 9/49 + 16/49 = 25/49</span>
allsm [11]3 years ago
4 0
I think 2/7 would be the probability 
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Answer:

B

Step-by-step explanation:

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so answer is B

8 0
3 years ago
Precalc.
viktelen [127]
Domain: x>0.

(\log_2x)^2+7\log_2x+12=0

Substitute t=\log_2x\in\mathbb{R}. We have:

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For t₁ there will be:

\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}

and for t₂:

\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}

Answer d)


6 0
3 years ago
Express tan D as a fraction in simplest form
Zinaida [17]
0 it has no simplest form
4 0
2 years ago
Stephanie, Mike , and Howard gather blackberries for their grandmother. Stephanie picks 4 3/8 pounds, Mike picks 2.5 pounds, and
Zarrin [17]

Answer:B

Step-by-step explanation:

I don’t know

8 0
3 years ago
Read 2 more answers
today's local newspaper lists 20 stocks of local interest. of those stocks ten increased five decreased and five remained unchan
coldgirl [10]

Answer:

P(x=2) = 0.2368

Step-by-step explanation:

given data

stocks of local interest N = 20

stocks increased K = 10

stocks decreased =  5

remained unchanged = 5

solution

we take here no of stock that are increased randomly n = 2

so here Hypergeometric random variable can take integer value

{max(0, n+k - N ), min(n,K) } = {0,2}

so here

P(x=2)

so

P(x=k)  = \frac{(^K_k)\times (^{N-K}_{n-k}) }{(^N_n)}      .......................1

P(x=2 ) = \frac{(^{10}_2)\times (^{20-10}_{2-2}) }{(^{20}_2)}    

solve it we get

P(x=2 ) = 0.236842

now we use excel function as

HYPGEOM.DIST (k,n,N.cumulative)   .....................2

so it will be

HYPGEOM.DIST (2,2,10,,false)

we get

HYPGEOM.DIST (2,2,10,,false)  = 0.236842

so

P(x=2) = 0.2368

4 0
3 years ago
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