the letters of the word INDEPENDENT are written on individual cards and the cards a put into a box.A card is selected and then replaced and then a second card is selected. Find the probability of obtaining (a) the letter 'P' twice (b) the letter 'E' twice
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Given : the letters of the word INDEPENDENT are written on individual cards and the cards a put into a box.
A card is selected and then replaced and then a second card is selected.
To Find : the probability of obtaining
(a) the letter 'P' twice (b) the letter 'E' twice
Solution:
INDEPENDENT
Total Letters = 11
E = 3
P = 1
Probability of obtaining the letter 'P' twice = (1/11)(1/11)
= 1/121
Probability of obtaining the letter 'E' twice = (3/11)(3/11)
= 9/121
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