Question

Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?
A) 1/4
B) 1/6
C) 1/8
D) 4

Answer 1

Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?
A) 1/4
B) 1/6
C) 1/8
D) 4

Answer: C) 1/8

Read Description:

4 distinct letters T I M E.

Case 1 : 2 letters chosen together

Total outcomes = 4C2 = 6.

One outcome T&M.

P (T&M)=1/6 Answer.

Case 2 : 2 letters chosen one by one without replacement.

Total outcomes = 4×3 =12.

Favorable outcomes = T M & M T = 2.

P(TM or MT)=2/12=1/6 Answer.

Case 3 : 2 letters chosen one by one with replacement.

Total outcomes = 4×4 = 16.

Favorable outcomes = TM & MT = 2.

P(TM & MT) = 2/16 = 1/8 Answer.

All three cases considered.

Answer 2

Heyy mate ❤✌✌❤

Here's your Answer...


⤵️⤵️⤵️⤵️⤵️⤵️⤵️

Total outcome = 12.

Favourable Outcome = 2 ( TM AND MT)

Probability = 2/12

= 1/6.
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