A bag contains 16 cards bearing number 1, 2, 3, . . . , 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3?

(a) $\frac{3}{16}$

(b) $\frac{5}{16}$

(c) $\frac{11}{16}$

(d) $\frac{13}{16}$

Open in App

Solution

ANSWER:
(b) $\frac{5}{16}$
Explanation:
Total number of cards in the bag = 16
Numbers on the cards that are divisible by 3 are 3, 6, 9, 12 and 15.
Number of cards with numbers divisible by 3 = 5
Let E be the event that the chosen card bears a number divisible by 3.∴ Required probability = P(E) = 5/16

Suggest Corrections

Similar questions

Q. A bag contains 16 cards bearing numbers 1, 2, 3, ..., 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number divisible by 3?
(a)

\frac{3}{16}

(b)

\frac{5}{16}

(c)

\frac{11}{16}

(d)

\frac{13}{16}

Q. Cards bearing numbers

2, 4, 6, 8, 10, 12, 14, 16, 18

and

20

are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is?

(A) A prime number.

(B) A number is divisible by

4

6

(D) An odd number.

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 (iI) a prime number less than 15, (ii) a number divisible by 3 and 5.

Q. A bag contain

50

cads numbered

1, 2, 3, . . . . . 49, 50

. A cards is chosen, what is probability that the card contain a 2 digit number?

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. The probability that it bears a two digit number is:

Join BYJU'S Learning Program

A bag contains 16 cards bearing number 1, 2, 3, . . . , 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3? (a) 316 (b) 516 (c) 1116 (d) 1316

ANSWER: (b) 516 Explanation: Total number of cards in the bag = 16 Numbers on the cards that are divisible by 3 are 3, 6, 9, 12 and 15. Number of cards with numbers divisible by 3 = 5 Let E be the event that the chosen card bears a number divisible by 3.∴ Required probability = P(E) = 5/16

A bag contains 16 cards bearing number 1, 2, 3, . . . , 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3?

(a) $\frac{3}{16}$

(b) $\frac{5}{16}$

(c) $\frac{11}{16}$

(d) $\frac{13}{16}$