Question

cards numbered 13 to 60 are in a box and picked at random what is the probability of getting a number which is a perfect square
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Answer 1

Step-by-step explanation:

Given:-

Cards numbered 13 to 60 are in a box and picked at random

To find:-

Probability of a getting a number which is a perfect square

Solution:-

• First we need to find the total number of cards

${:}\dashrightarrow$$\sf {Sample\:space={13,14,15...60}}$

${:}\dashrightarrow$$\sf {|S|= 60-13+1=48}$

• Now we need to find number of perfect squares

$\sf {{4}^{2}=16}$

$\sf { {5}^{2}}=25$

$\sf { {6}^{2}=36 }$

$\sf {{7}^{2}=49}$

$\bull\sf {E=Perfect\:square}$

${:}\dashrightarrow$$\sf {E={4,5,6,7}}$

${:}\dashrightarrow$$\sf {|E|=4}$

• Now probability=

${:}\dashrightarrow$$\sf {{\dfrac {|E|}{|S|}}}$

${:}\dashrightarrow$$\sf {{\dfrac {4}{48}}}$

${:}\dashrightarrow$${\underline{\boxed{\bf {{\dfrac{1}{12}}}}}}$

Answer 2

Answer:

the probabilof getting perfect square no. is 1/12

Step-by-step explanation:

total number of outcomes = 48 {60-12}

number of favorable outcomes = 4 I.e 16,25,36,49

so,E is the event of getting perfect square number

hence p(E) = 4/48 = 1/12

Hope it will help you.