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To select a group, an unbiased dice is rolled out. If the dice shows 1 then group x is chosen. If 2 or 3 is shown, group y is chosen and if 4, 5 or 6 is shown, group z is chosen. Group x has 3 girls and 2 boys, group y has 3 girls and 4 boys, and group z has 4 girls and 5 boys. The dice is rolled out and the group is chosen, if a girl is chosen then find the probability that is it chosen from group y.
To select a group, an unbiased dice is rolled out. If the dice shows 1 then group x is chosen. If 2 or 3 is shown, group y is chosen and if 4, 5 or 6 is shown, group z is chosen. Group x has 3 girls and 2 boys, group y has 3 girls and 4 boys, and group z has 4 girls and 5 boys. The dice is rolled out and the group is chosen, if a girl is chosen then find the probability that is it chosen from group y.
Updated On: Nov 21, 2024
- \(\frac {90}{293}\)
- \(\frac {63}{293}\)
- \(\frac {7}{90}\)
- None
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The Correct Option is A
Solution and Explanation
The correct option is (A): \(\frac {90}{293}\).
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