cards with numbers marked from 1-227 are placed in a box. I draw 1 card from the box. What is the probability that the drawn card is a multiple of 7?
(a) 30/227 (b) 7/227 (c) 32/227 (d) 33/227
Answers
CONCEPT:
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
P(x)= no. of favourable outcome/total outcome
Given:
Cards with numbers marked from 1-227 are placed in a box. I draw 1 card from the box.
Find:
Find the probability that the drawn card is a multiple of 7?
Solution:
multiples of 7 till 277 =7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91 and 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273
No. of multiples of 7 till 277 = 32
Probability that the drawn card is a multiple of 7 = no. of favourable outcome/total outcome
=32/227
Therefore, the probability that the drawn card is a multiple of 7 is 32/227
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