Probability

Question

There are two sets of Alphabets $S_{1} = \{ a, c, f, d, e\}$ and $S_{2} = \{ a, c, g, d, b\}$. An alphabet is picked from the first set and then a second albhabet from the second set, randomly. What is the probability that the same alphbet is picked in both the pickings.

a) 5/25               b)3/25

c) 4/25               d)6/25

Answer 1

Here sample space=(5X5)=25

now it is said that probabilities of two keys SAME

so {a,c,d} is common in both

they can be picked up in 3 ways only

so P(S)=3/25

so b is correct answer i guess