Cards marked with numbers 3, 4, 5, ………..…., 50 are placed in a bag and
mixed thoroughly. One card is drawn at random from the bag. Find the probability
that number on the card drawn is:
a. Divisible by 7.
b. A perfect square.
c. Multiple of 6
Answers
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Total possible outcomes = number
of cards in the bag = 48 ---( 1 )
i ) Let E be the event of getting
a card which has the number
divisible by 7 .
Then ,
The favourable outcomes of E
= { 7 , 14 , 21 , 28 , 35 , 42 , 49 }
Number of favourable
outcomes = 7 ----( 2 )
P( E ) = ( 2 )/( 1 )
= 7/48
ii ) Let E be the event of getting
A perfect square .
Then ,
The favourable outcomes are 4 , 9 ,
16 , 25 , 36 , 49
Number of favourable
outcomes = 6 ---( 3 )
P( E ) = ( 3 )/( 1 )
= 6/48
= 1/8
iii ) Let E be the event of getting
a multiple of 6.
Then ,
The favourable outcomes are 6 ,12 ,
18 , 24 , 30 , 36 , 42 , 48
Number of favourable
Outcomes = 8---( 4 )
P( E ) = ( 4 )/( 1 )
= 8/48
= 1/6