There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
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Given:
- a bag with only red marbles and blue marbles.
- There are 63 marbles in total in the bag
- The probability of randomly choosing a red marble is 7/9.
To Find:
The no. red marbles in the bag.
Solution:
Probability = no of favorable events/ total no of events
in this case,
probability of red marble = no of red marbles / total no of marbles
7/9 = no of red marbles / 63
7 × 63 / 9 = no of red marbles
49 = no of red marbles
Hence, the no. red marbles in the bag are 49.
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