Find the probability that the letter is same

  • There are two names given JOHNSON and TONY. If one letter is picked from both simultaneously at random, then find the probability that the letter is same?

JOHNSON = 2/7 (if I pick O)

TONY= ¼ (if I pick O)

Total probability of picking O = 2/7 + ¼

JOHNSON = 2/7( if I pick N)

TONY = ¼ ( if I pick N)

Total probability of picking N = 2/7 + ¼

Probability of that the letter is same

= Total probability of picking O * Total probability of picking N

= (2/7 + ¼)*(2/7 + ¼)

For details, see the video https://youtu.be/b6lbcfMcaF4

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