Question

Xander spends most of his time with his 10 closest friends. he has known 4 of his 10 friends since kindergarten. if he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not? startfraction 1 over 30 endfraction startfraction 9 over 125 endfraction startfraction 12 over 125 endfraction startfraction 1 over 10 endfraction

1. the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not. (1/10)
The correct option is D.

### What is probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.

### According to the given information:

Out of 10 friends ,four were known . –> 4/10 = 2/5
Three of his friends going for movie : 3/9 = one-third
the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not 6/8 = three-quarters
2/5 x 1/3 x 3/4
= 6/60
= 1/10
So, 10% (1/10) is the correct response.
the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not. (1/10)
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