A jar contains colored stones that are 6 pink stones, 9 orange stones and 5 gree
ID: 3024131 • Letter: A
Question
A jar contains colored stones that are 6 pink stones, 9 orange stones and 5 green stones. Ryan picks one stone, records it's color and puts it back in the jar. Then he draws another stone.
Q: what is the probability that the second is pink if we know that the first was orange.
Q: If it is a given that the first was green, what is the probability the second is also green.
Q: What is the probability that the stones match.
Q: What is the probability that the stones don't match.
Q: what is the probability that at most one stone is orange.
Explanation / Answer
Given that, jar contains colored stones that are 6 pink stones, 9 orange stones and 5 green stones
Q: what is the probability that the second is pink if we know that the first was orange.
Probability drawing an Orange in 1st Draw, Pink in 2nd Draw = 9/20 * 6/20 = 0.135
Q: If it is a given that the first was green, what is the probability the second is also green.
Probability drawing green in 1st Draw, green in 2nd Draw = 5/20 * 5/20 = 0.0625
Q: What is the probability that the stones match.
Probability that the stones match = Both Green + Both pnk + Both Orange = (5/20)^2 + (6/20)^2 + (9/20)^2 = 0.355
Q: What is the probability that the stones don't match
Probability that the stones don't match = 1 - ( Both Match) = 1 - 0.355 = 0.645
Q: what is the probability that at most one stone is orange.
Probability atmost one is orange = P( Zero organe in bth draw) + P( 1 orange in bth draw) = (11/20)^2 + (11/20*9/20)=0.55
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