An opaque bag contains 3 green marbles, 3 red marbles. If two consecutive marbles are drawn without replacement then the probability that they will both be green is 3/10.
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
An opaque bag contains 3 green marbles, 3 red marbles. If two consecutive marbles are drawn without replacement
Number of green marble = 3
Number of red marble = 3
Probability of green marble = Number of green marble / Total marble
Probability of green marble = 3 / [3 + 3]
Probability of green marble = 3 / 6
Probability of green marble = 1/2
Probability of next green marble = Number of green marble / [Total marble - 1]
Probability of next green marble = 3 / [Total marble - 1]
Probability of next green marble = 3 / [6 - 1]
Probability of next green marble = 3 / 5
Probability[Choosing both be green] = Probability of green marble x Probability of next green marble
Probability[Choosing both be green ] = [1/2][3 / 5]
= 3/10
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