How can this rational number be expressed in a/b form ? 2 3/5
2 answers:
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Answer:
The probability that the first block will be green and the second will be yellow is or 0.111.
Step-by-step explanation:
We are given that a bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks.
Also, we choose one block and then another block without putting the first one back in the bag.
<u>Firstly, as we know that Probability of any event is given by ;</u>
Probability of an event =
SO, <em>Probability that the first block will be green</em> =
Here, Number of green blocks = 2
Total number of blocks in bag = 5 yellow + 2 green + 3 blue = 10 blocks
So, Probability that the first block will be green =
<em>Similarly, Probability that the second block will be yellow</em> =
Here, Number of yellow blocks = 5
Total number of remaining blocks in bag = 10 - 1 = 9 blocks {because we haven't put the block back after choosing the first}
So, Probability that the second block will be yellow =
<u>Now, Probability that the first block will be green and the second will be yellow</u> =
= = 0.111
Hence, the required probability is 0.111.