Read the rule, then work each example: try the setup yourself, then tap to check one step at a time.
P = C(pool₁, want₁) × C(pool₂, want₂) ÷ C(total, picked); the 'want' numbers add up to the number picked.
P(at least one) = 1 − P(none); P(at least two) = 1 − P(0) − P(1).
For 3 dice, list each set of faces that works, then count its orders: 3 different faces → 6, one pair → 3, all same → 1.
List the sample space of selecting 3 pieces of fruit from the given 6
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On a lunch counter, there are 3 oranges, 1 apple, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.
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List the events of getting 1 orange, 1 apple, and a banana
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On a lunch counter, there are 3 oranges, 1 apple, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.
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Find the probability of getting 1 orange, 1 apple and 1 banana.
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On a lunch counter, there are 3 oranges, 1 apple, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.
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Use combination to find the probability
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On a lunch counter, there are 3 oranges, 1 apple, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.
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When 2 dice are rolled, find the probability of getting a sum of 8.
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When 3 dice are rolled, find the probability of getting a sum of 8.
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exactly 1 TV is defective
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The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of 100 TVs in the current lot are defective, find the following probabilities
Round all answers to 3 decimal places
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None is defective
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The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of 100 TVs in the current lot are defective, find the following probabilities
Round all answers to 3 decimal places
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At least 1 is defective
Notes: D = Defective G = Good
G G G G G G G G G D D G G D G G D D D G D D D G D D D D D D
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The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of 100 TVs in the current lot are defective, find the following probabilities
Round all answers to 3 decimal places
Try the setup yourself first, then tap.