Find the probability that the month of July i | vedclass

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Question

(B) The month of July in any year has $31$ days.These $31$ days consist of $4$ complete weeks and $3$ additional days.Therefore,every day of the week

Vedclass · Accepted Answer

$\frac{3}{7}$

Vedclass · Answer

(B) The month of July in any year has $31$ days.These $31$ days consist of $4$ complete weeks and $3$ additional days.Therefore,every day of the week will occur at least $4$ times.The remaining $3$ days can be any of the following $7$ possible triplets:$1$. (Sunday,Monday,Tuesday)$2$. (Monday,Tuesday,Wednesday)$3$. (Tuesday,Wednesday,Thursday)$4$. (Wednesday,Thursday,Friday)$5$. (Thursday,Friday,Saturday)$6$. (Friday,Saturday,Sunday)$7$. (Saturday,Sunday,Monday)Total number of elementary outcomes $= 7$.The outcomes that contain a Sunday are:$1$. (Sunday,Monday,Tuesday)$6$. (Friday,Saturday,Sunday)$7$. (Saturday,Sunday,Monday)Number of favourable outcomes $= 3$.Therefore,the required probability $= \frac{	ext{Number of favourable outcomes}}{	ext{Total number of outcomes}} = \frac{3}{7}$.

Find the probability that the month of July in any year has $5$ Sundays.

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