Question

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

Pr (G & O) = 1/5

Step-by-step solution

Probability Concept 

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

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