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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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We will use PEMDAS rule to simplify the given expression.
PEMDAS rule is given by:
P
-Parentheses first
E
-Exponents (ie Powers and Square Roots, etc.)
MD-Multiplication and Division (left-to-right)
AS
-Addition and Subtraction (left-to-right)
Step 1: P-parenthesis first.
(3-9) is -6
√16 -1 = 4-1 =3
So new expression becomes :
Step 2:
Multiplying (-3)*(-6)*2
We get +36
So new expression becomes : 25 +36
Step 3: Addition
Adding 25 and 36 we get 61
So final answer is 61 .