Question

Cards are marked with numbers 2, 3, 4, 5, ., 37. The probability of getting a multiple of 5 is (a) 7/37 (b) 5/37(c) 1/5 (d)7/36​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Cards are marked with numbers 2, 3, 4, 5, ., 37. The probability of getting a multiple of 5 is

$\displaystyle \sf{ (a) \: \: \frac{7}{37} }$

$\displaystyle \sf{ (b) \: \: \frac{5}{37} }$

$\displaystyle \sf{ (c) \: \: \frac{1}{5} }$

$\displaystyle \sf{ (d) \: \: \frac{7}{36} }$

EVALUATION

Cards are marked with numbers

2 , 3 , 4 , 5 , . . , 37

Total number of cards = 36

Total number of possible outcomes = 36

Let A be the event that of getting a multiple of 5

Now the cards which are multiple of 5 are 5 , 10 , 15 , 20 , 25 , 30 , 35

So total number of possible outcomes for the event A is 7

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{7}{36} }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{ (d) \: \: \frac{7}{36} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The sun rises from north. What is the probability

https://brainly.in/question/25984474

2. probability of a 10 year flood occurring at least once in the next 5 years is

https://brainly.in/question/23287014