Question

1) A refrigerator manufacturer sold 2,756 units of
a new model and 287 required repairs under the
warranty. Estimate the probability that a new unit,
which has just been sold, will require repairs under
the warranty.

2) When we roll a pair of balanced dice, what is the probability of getting a sum of 7? (Answer should be in fraction form or in decimal form accurate up to two digits)

Answer 1

( Q.1 )

From the given data

2756 units are sold

out of them 287 required repair under the warranty.

probability that a new unit sold require a repair under the warranty = 287/2756 = 0.104

( Q.2 )

When 2 dice are rolled total possible outcomes are 36. They are :-

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Total favourable outcomes to get a sum of 7 when 2 dice are rolled simultaneously = 6

{i.e.,(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

Probability = favourable outcomes /total outcomes

P = 6/36

P = 1/6.

Let me know in the comment section if anything is not clear. I will reply ASAP!

If you like the answer, please give a thumbs-up. This will be quite encouraging for me.Thank-you!