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Cards bearing numbers 1,3,5..35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing
(a) a prime number less than 15
(b) a number divisible by 3 and 5

Respuesta :

Answer:[tex]\dfrac{6}{35} ,\dfrac{2}{35}[/tex]

Step-by-step explanation:

[tex]probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}[/tex]

Question a:

Number of prime numbers less than [tex]15[/tex] are [tex]2,3,5,7,11,13[/tex].

There are [tex]6[/tex] favourable outcomes.

There are [tex]35[/tex] total outcomes.

[tex]probability=\frac{6}{35}[/tex]

Question b:

Numbers divisible divisible by [tex]3[/tex] and [tex]5[/tex] are [tex]15,30[/tex]

There are [tex]2[/tex] favourable outcomes.

There are [tex]35[/tex] total outcomes.

[tex]probability=\frac{2}{35}[/tex]

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