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Damm [24]
3 years ago
12

Henry has a bag containing 39 letter tiles, some consonants, and some vowels. He selects a tile without looking and then replace

s it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?
Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

21 consonant tiles

Step-by-step explanation:

Henry has a bag containing 39 letter tiles, some consonants, and some vowels.

He selects a tile without looking and then replaces it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?

Step 1

We add up the number of tiles that he pulls out of the bag

= 7 consonant tiles + 6 vowel tiles

= 13 tiles

Step 2

We divide the total number of tiles in the bag by the total number of tiles that was pulled out of the bag

= 39 tiles ÷ 13 tiles

= 3

Step 3

The most likely number of consonant tiles in Henry's bag is calculated as:

3 × The number of consonant tiles that was pulled out of the bag.

Hence:

3 × 7 consonant tiles

= 21 consonant tiles.

Therefore, the most likely number of consonant tiles in Henry's bag is 21 consonant tiles.

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A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with
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Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

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