Is The sum of two prime numbers always a prime number and why or why not
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Answer: The probability of picking 7 and then picking a number greater than 7 is or 0.3
Step-by-step explanation: Probability
Probability shows us the chances of an event occurring.
Now, given that we have already picked three cards. therefore, 7, 8, and 9.
The number of possible outcomes is 3.
the probability of card 7,
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
Probability picking a number greater than 7
The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occurring x probability of card 8 and 9 occurring.
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Given:
The expression is:
To find:
The value of the given expression when .
Solution:
We have,
Substituting in the above expression, we get
Therefore, the value of given expression at is 59.