Answer:
a) [tex]\frac{47}{260}[/tex]
b) [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
a) There are two ways of getting a king; picking a green ball and then picking a king from the deck of 52 OR picking a white ball then picking a king from the pictures only deck of 16
[tex]P(king) = \frac{2}{5} *\frac{4}{52} +\frac{3}{5} *\frac{4}{16} = \frac{47}{260}[/tex]
b) [tex]P(white ball, given king)= \frac{3}{5}*\frac{4}{16} =\frac{3}{20}[/tex]
A) The the probability of drawing a king is; 0.1808
B) The probability of a white ball was selected given that a king was drawn is;
A) The ways of getting a king are either by picking a green ball and then picking a king from the deck which has 52 cards or by picking a white ball and then picking a king from the pictures only deck of 16. Thus;
P(king) = (²/₅ * ⁴/₅₂) + (³/₅ * ⁴/₁₆)
P(king) = 0.1808
B) The probability of a white ball was selected given that a king was drawn is;
P(whiteball, green) = (³/₅* ⁴/₁₆)
P(whiteball, green) = 0.15
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