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Chapter 3: Q3.9 (page 185)

In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3,4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.

• R = a red marble

• G = a green marble

• O = an odd-numbered marble

• The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.

S has ten outcomes. What is P(G AND O)?

Short Answer

Expert verified

Pr (G & O) = 1/5

Step by step solution

01

Probability Concept 

Probability is the likelihood of an event, calculated by = favourable outcomes / total outcomes

02

Numerical Solution 

Pr (G & O) = Probability of getting green marble & odd numbered marble

= Pr (Green & odd numbered marble)

Total outcomes = 10 ; Two favourable outcomes = G1 , G3

Pr (G & O) = 2 / 10 = 1/5

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