Cards marked with numbers 3, 4, 5, .........,50 are placed in a box and and mixed thoroughly. One card is drawn at random from the box, find the probability that the number on thedrawn card is (i) divisible by 7 (ii) a number, which is a perfect square .
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There are 48 cards numbered 3, 4, 5, .........,50 are placed in a box.
Total number of outcomes = 48
i) There are 6 numbers divisible by 7
7, 14 ,21, 28, 35, 42, 49
Number of favourable outcomes= 7
Probability = Number of favourable outcomes/ Total number of outcomes
P(divisible by 7) = 7/48= 7/48
ii) There are 6 numbers which are a perfect square.
4,9,16,25,36,49
Number of favourable outcomes= 6
Probability = Number of favourable outcomes/ Total number of outcomes
P(perfect square number) = 6/48= ⅛
HOPE THIS WILL HELP YOU...
Total number of outcomes = 48
i) There are 6 numbers divisible by 7
7, 14 ,21, 28, 35, 42, 49
Number of favourable outcomes= 7
Probability = Number of favourable outcomes/ Total number of outcomes
P(divisible by 7) = 7/48= 7/48
ii) There are 6 numbers which are a perfect square.
4,9,16,25,36,49
Number of favourable outcomes= 6
Probability = Number of favourable outcomes/ Total number of outcomes
P(perfect square number) = 6/48= ⅛
HOPE THIS WILL HELP YOU...
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