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In-s [12.5K]
3 years ago
5

a bag contains a number of colored gum balls: 2 green, 10 orange, 5 blue, 3 yellow. your friend Candy randomly picks a gum ball,

then you do the same. what is the probability that Candy selects an orange and you select an orange gum ball?
Mathematics
2 answers:
Brrunno [24]3 years ago
6 0
There are 20 gumballs
kolbaska11 [484]3 years ago
4 0

Step-by-step explanation:

Total gumballs = 20

Probability candy picks an orange gum = 10/20 = 1/2

Probability that you pick an orange gum = 9/20

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Read 2 more answers
From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?
Ostrovityanka [42]

Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

Number of women = 4

A delegation of 2 is selected.

Let X be the number of men selected. So, the possible values of X are 0,1,2.

P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}

P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}

P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}

The expected number of men in the delegation is

E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)

E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}

E(x)=\dfrac{6}{7}

E(x)\approx 0.86

Therefore, the expected number of men in the delegation is 0.86.

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