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A box contains four tiles 1,4,5 and 8 as shown. Kelly chooses one time places it back in the box then chooses a second tile. What is the probability that the sum of the two chosen tiles is greater than 7?

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Answer:

the answer to that question is 11/16

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Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.

Recall :

  • Probability = required outcome / Total possible outcomes

The only way to choose two tiles which sums up to a number greater than 7 would be :

  • (1,8), (8, 1), (4, 5), (5,4), (4, 8), (8,4), (5,8), (8,5), {4, 4}, {5, 5}, {8, 8}

Since selection is performed with replacement ;

  • Total possible outcome = sample size = 4² = 16

The probability of choosing two tiles whose sum is greater than 7 ;

  • 11/16 =

Hence, probability of choosing tiles with a sum greater than 7 is 11/16

Therefore, the probability of picking two tiles which sums above 7 is 11/16.

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