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Bot The probability of rolling a 4 on a number cube is 1/6 as there are six equally likely outcomes on a number cube.
The probability of pulling a red marble out of the bag is 3/10 since there are three red marbles among a total of 10 marbles in the bag.
To find the probability of both the events happening together, we can multiply the two probabilities:
P(rolling a 4 and pulling a red marble) = P(rolling a 4) x P(pulling a red marble)
= 1/6 x 3/10
= 1/20
Therefore, the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contains 3 red, 2 black, and 5 yellow marbles is 1/20.