Question

Find probability of days neither person use club

Answer 1

The probably days 360 -230= 130

so ans is 130 days

Answer 2

Jenny will use the club every alternate day.

So, the series of the days Jenny uses the club = 1, 3, 5, 7,9 .... 359.

Let the number of days Jenny used the club be 'x'

an = a + (n-1) d

⇒ 359 = 1 + (x-1) 2

⇒ x = 180 

Sally will use the club every third day.

So, the series of days Sally uses the club = 1, 4, 7, 10, 13...... 358.

Let the number of days Sally used the club be 'y'.

an = a + (n-1) d

⇒ 358 = 1 + (y-1)3

⇒ y = 120

every sixth day both Jenny and Sally use the club together,

So, the series of days when both Jenny and Sally use together = 1, 7, 13, .... 355.

Let the total number of days when both Jenny and Sally will go to the club together be 'L'.

an = a + (n-1) d

⇒ 355 = 1 + (L-1) 6

L = 60

Total number of days they both went to the club = x + y - L

⇒ 180 + 120 - 60

= 240 days

So, the number of days when none of them gone to the club = 360 - 240

= 120 days   Answer.

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