A man has a bag which contains 40 precious gems of different colours, i.e. green, orange and yellow. The probability of picking orange gem is 3/8. If the first gem was orange and without replacement, probability of picking a green gem is 4/13. Find the number of yellow gems.?

7
13
5
11
None of these

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 13

Probability of picking orange gem = 3/8

Probability of picking orange gem = No. of orange gems/Total No. of gems

⇒ 3/8 = No. of orange gems/40

No. of orange gems = 15

Now no. gems left in the bag = 39

Probability of picking a green gem = 4/13

Probability of picking a green gem = No. of green gems/total No. of gems left

⇒ 4/13 = No. of green gems/39

No. of green gems = 12

No. of orange gems = 15

No. of Yellow gems = Total gems – (No. of green gems + No. of orange gems)

∴ No. of Yellow gems = 40 – (12 + 15) = 13

5 views Answered 2022-09-04 04:29

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