A number x is chosen at random from the numbers -2,-1,0,1,2 what is the probability that x²<2?
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The numbers are -2,-1,0,1,2
The condition is that x²<2
If x is -2 then x²=(-2)²=4 and 4 is greater than 2.
If x is -1 then x²=(-1)²=1 and 1 is less than 2.
If x is 0 then x²=(0)²=0 and 0 is less than 2.
If x is 1 then x²=(1)²=4 and 1 is less than 2.
If x is 2 then x²=(2)²=4 and 4 is greater than 2.
P(x²<2)=No. of terms which satisfy that x²<2/total no.of terms
=3/5
Hence, probability is 3/5
The condition is that x²<2
If x is -2 then x²=(-2)²=4 and 4 is greater than 2.
If x is -1 then x²=(-1)²=1 and 1 is less than 2.
If x is 0 then x²=(0)²=0 and 0 is less than 2.
If x is 1 then x²=(1)²=4 and 1 is less than 2.
If x is 2 then x²=(2)²=4 and 4 is greater than 2.
P(x²<2)=No. of terms which satisfy that x²<2/total no.of terms
=3/5
Hence, probability is 3/5
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