Multiple choice

A bag contains 5 analog watches and 3 digital watches. The second bag contains 7 analog watches and 4 digital watches. A watch when taken out from any bag. The probability that the watch being a digital watch is

  1. 3/88

  2. 61/154

  3. 65/88

  4. 65/176

  5. 29/70
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Probability of getting a digital watch out of the first bag is = 1/2 x 3/8 = 3/16. Probability of getting a digital watch out of the second bag is = 1/2 x 4/11 = 2/11. Both the two events are independent event. Therefore, required probability is, P = (1/2 x 3/8 + 1/2 x 4/11) = 65/ 176.

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